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What does the number 45 represent in the context of Marisol's journey from City A to City B?
What does the number 45 represent in the context of Marisol's journey from City A to City B?
If Marisol drove for 3 hours at an average speed of 45 miles per hour, how far did she travel?
If Marisol drove for 3 hours at an average speed of 45 miles per hour, how far did she travel?
What is the value of speed in miles per hour of the car 5 seconds after it started accelerating, according to the given equation?
What is the value of speed in miles per hour of the car 5 seconds after it started accelerating, according to the given equation?
If a car's speed is represented as a function of time in seconds, which of the following correctly describes the relationship?
If a car's speed is represented as a function of time in seconds, which of the following correctly describes the relationship?
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If Marisol drove for t hours, how would you represent the distance she traveled mathematically?
If Marisol drove for t hours, how would you represent the distance she traveled mathematically?
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When calculating Marisol's distance, which of these aspects must be considered?
When calculating Marisol's distance, which of these aspects must be considered?
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How many total miles would be traveled if the car accelerates to 55 miles per hour over a period of time?
How many total miles would be traveled if the car accelerates to 55 miles per hour over a period of time?
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What would be an incorrect assumption about the car's speed recorded after it began accelerating?
What would be an incorrect assumption about the car's speed recorded after it began accelerating?
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What does T represent in the equation for Brittany's total take-home pay?
What does T represent in the equation for Brittany's total take-home pay?
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If Brittany's total take-home pay was $1,576, what was the equation used to determine the number of hours she worked?
If Brittany's total take-home pay was $1,576, what was the equation used to determine the number of hours she worked?
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How many hours did Brittany work to achieve a total pay of $1,576?
How many hours did Brittany work to achieve a total pay of $1,576?
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What is the value of the constant a in the function g(x) = 5x + a if g(4) = 31?
What is the value of the constant a in the function g(x) = 5x + a if g(4) = 31?
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What value is obtained by substituting x = 9 into the equation f(x) = 100x + 2?
What value is obtained by substituting x = 9 into the equation f(x) = 100x + 2?
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If Brittany's pay was calculated based on 18 dollars per hour, what was her hourly wage based on her total pay?
If Brittany's pay was calculated based on 18 dollars per hour, what was her hourly wage based on her total pay?
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Which operation would you perform first to solve for h in the equation $1,576 = 18h + 1,000$?
Which operation would you perform first to solve for h in the equation $1,576 = 18h + 1,000$?
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If the sign-on bonus is $1,000 and the total pay is $1,576, how much of that pay was from hourly wages?
If the sign-on bonus is $1,000 and the total pay is $1,576, how much of that pay was from hourly wages?
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What will be the distance of the bus from the marker 2 seconds after passing it?
What will be the distance of the bus from the marker 2 seconds after passing it?
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Which of the following describes the cost for making a specific number of rings according to the line shown?
Which of the following describes the cost for making a specific number of rings according to the line shown?
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What does the y-coordinate of the point on the line represent when the x-coordinate is 60?
What does the y-coordinate of the point on the line represent when the x-coordinate is 60?
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What is a common error that might lead to selecting the wrong option for the bus distance 2 seconds after passing the marker?
What is a common error that might lead to selecting the wrong option for the bus distance 2 seconds after passing the marker?
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If a manufacturer wants to produce 100 rings, what information does the y-coordinate provide?
If a manufacturer wants to produce 100 rings, what information does the y-coordinate provide?
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If the bus travels at a constant speed of 30 feet per second, how far will it travel in 5 seconds?
If the bus travels at a constant speed of 30 feet per second, how far will it travel in 5 seconds?
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What is the correct interpretation of the slope in the cost versus number of rings graph?
What is the correct interpretation of the slope in the cost versus number of rings graph?
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Which of the following distances will the bus NOT be after 1 second according to the equation $d = 30t$?
Which of the following distances will the bus NOT be after 1 second according to the equation $d = 30t$?
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What is the function that models the number of minutes it will take Juan to ride $x$ miles at his average rate of 5.7 minutes per mile?
What is the function that models the number of minutes it will take Juan to ride $x$ miles at his average rate of 5.7 minutes per mile?
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Given that the graph of $y = f(x)$ has a slope of 3 and passes through the point (0, -8), what is the y-intercept of the graph?
Given that the graph of $y = f(x)$ has a slope of 3 and passes through the point (0, -8), what is the y-intercept of the graph?
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What is the general form of the equation for a linear function given a slope of $m$ and a y-intercept of $b$?
What is the general form of the equation for a linear function given a slope of $m$ and a y-intercept of $b$?
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If Juan doubles the distance he rides, how will his total time in minutes change?
If Juan doubles the distance he rides, how will his total time in minutes change?
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What would be the equation of a line with a slope of 3 that passes through the point (1, -5)?
What would be the equation of a line with a slope of 3 that passes through the point (1, -5)?
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If the average rate at which Juan bikes were halved to 2.85 minutes per mile, how many minutes would it take him to bike 4 miles?
If the average rate at which Juan bikes were halved to 2.85 minutes per mile, how many minutes would it take him to bike 4 miles?
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Which of the following statements about linear functions is false?
Which of the following statements about linear functions is false?
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What is the value of the slope in the equation $f(x) = 3x - 8$?
What is the value of the slope in the equation $f(x) = 3x - 8$?
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If Robert rented a truck and was charged an initial fee of $20.00 plus $0.70 per mile, what will be the total cost if he drove 60 miles?
If Robert rented a truck and was charged an initial fee of $20.00 plus $0.70 per mile, what will be the total cost if he drove 60 miles?
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What is the correct representation of the total charge Robert incurred if he drove $m$ miles?
What is the correct representation of the total charge Robert incurred if he drove $m$ miles?
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How many miles does Robert need to drive for the total cost to equal $46.60?
How many miles does Robert need to drive for the total cost to equal $46.60?
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What does the equation representing the snow leopard population indicate when $t = 30$?
What does the equation representing the snow leopard population indicate when $t = 30$?
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Which answer choice correctly interprets the snow leopard population equation for the year 2030?
Which answer choice correctly interprets the snow leopard population equation for the year 2030?
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If the snow leopard population is represented as $P(t)$, what does $P(30)$ equal?
If the snow leopard population is represented as $P(t)$, what does $P(30)$ equal?
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What may cause a student to incorrectly conclude that the population is 30 in the year 2030?
What may cause a student to incorrectly conclude that the population is 30 in the year 2030?
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What is the total amount Robert was charged if he drove 50 miles?
What is the total amount Robert was charged if he drove 50 miles?
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Study Notes
Linear Functions
- In the equation d = 30t, d represents the distance in feet from a road marker that a bus will be t seconds after passing the marker.
- When t = 2, the bus will be 60 feet from the marker.
- The equation y = 175 represents the cost (y) in dollars for a manufacturer to make x rings.
- When x = 60, the cost is $175.
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Juan's biking:
- He rides at an average rate of 5.7 minutes per mile.
- The function mx = 5.7x models the time in minutes (mx) it will take Juan to ride x miles.
- The function f(x) = 3x - 8 defines a linear function with a slope of 3 and a y-intercept of (0, -8).
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Marisol's trip:
- The equation d = 45t estimates the distance d (in miles) Marisol travels after t hours.
- 45 represents her average speed of 45 miles per hour.
- The equation s = 40 + 35t gives the speed s (in miles per hour) of a car t seconds after it begins to accelerate.
- When t = 5, the car's speed is 55 miles per hour.
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Brittany's pay:
- The equation T = 18h + 1000 represents her total take-home pay (T) for her first week, where h is the number of hours worked.
- When T = 1576, Brittany was paid for 32 hours.
- The function g(x) = 5x + a is defined with a as a constant; g(4) = 31.
- Therefore, a = 11.
- The function f(x) = 100x + 2 is defined.
- When x = 9, f(x) = 902.
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Snow Leopard Population
- The function P(t) = -2t + 550 models the population of snow leopards in a certain area, with t representing years after 1990.
- The equation P(30) = 550 means that the snow leopard population is predicted to be 550 in the year 2020.
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Description
Test your understanding of linear functions through various real-world applications. This quiz covers concepts like distance, cost, speed, and time modeled by linear equations. Challenge yourself to solve problems based on the equations discussed.
