Equations and Percentages
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Questions and Answers

If Melissa sells 7 toy cars, how much money does she earn?

  • $9.50
  • $10.50 (correct)
  • $7.00
  • $12.00

Based on the car travel graph, the car travels at a constant speed of _____ miles per hour.

60

Which equation models the money Melissa earns (m), based on the number of cars she sells (c)?

  • $m = 1.50c$ (correct)
  • $m = c + 1.50$
  • $m = 1.50 / c$
  • $m = c / 1.50$

Based on the car travel graph, the car's distance is directly proportional to the time traveled, starting from a non-zero initial distance.

<p>False (B)</p> Signup and view all the answers

Melissa earned $16.50. How many toy cars did she sell?

<p>11</p> Signup and view all the answers

In the equation d = 60t, what does the '60' represent in the context of the car's travel?

<p>The constant speed of the car (C)</p> Signup and view all the answers

Melissa earns $_____ when she sells 15 cars.

<p>22.50</p> Signup and view all the answers

How does the car's distance change according to the equation d = 60t as time (t) increases?

<p>The distance increases at a constant rate. (B)</p> Signup and view all the answers

In the 'Customer's Savings' graph, what does the slope of the line represent?

<p>The amount the customer saves per book purchased. (C)</p> Signup and view all the answers

If a point on the 'Customer's Savings' graph is (5, 10), it means the customer has $10 left after buying 5 books.

<p>True (A)</p> Signup and view all the answers

The equation $a = e - 4$ represents the relationship between Amanda's age, $a$, and Estaban's age, $e$. If Estaban is 18 years old, how old is Amanda?

<p>14</p> Signup and view all the answers

In the equation $a = e - 4$, the number 4 represents the age ______ between Amanda and Estaban.

<p>difference</p> Signup and view all the answers

If Bao earns $0.35 per cup of lemonade sold, which equation represents Bao's earnings, $E$, for selling $c$ cups of lemonade?

<p>$E = 0.35c$ (C)</p> Signup and view all the answers

Bao sells lemonade for $0.35 per cup. If Bao earned $9.80, how many cups of lemonade did he sell? Show your work.

<p>28</p> Signup and view all the answers

What is 30% of 60?

<p>18 (A)</p> Signup and view all the answers

Match the problem with the correct answer:

<p>25% of 40 = 10 30% of 60 = 18 45% of 90 = 40.5</p> Signup and view all the answers

Flashcards

What is a two-variable equation?

An equation showing the relationship between two variables.

Equation for money earned selling toy cars?

m = 1.50c; where 'm' is the money earned and 'c' is the number of toy cars sold.

What does a table of values represent?

Represents pairs of corresponding values that satisfy the equation.

What does the graph represent?

Shows the relationship between two variables (distance, time).

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Purpose of the table?

Organized data to easily see the relation between time and distance.

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In d=60t, what does 60 represent?

The number that multiplies the variable (60) represents the rate of travel, and t is the time passedd.

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What does the number 60 represent on the graph?

The slope of the line or rate of change.

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What is a coefficient?

A constant value or starting point.

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Graph Point Meaning

A point on the line represents a specific number of books and the corresponding amount of customer savings.

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a = e - 4

Represents the relationship where Amanda's age (a) is always 4 less than Estaban's age (e).

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Percentage

Finding a part of a whole expressed in hundredths.

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Calculating Percentage

Determining a portion of a quantity.

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Total Earnings

The total money made. Found by multiplying the price per item by the number of items sold.

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Total Cost

The money spent, calculated by multiplying the cost per cup by the number of cups.

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Connecting Representations

Different ways of showing the same mathematical relationship.

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Converting Representations

Exchanging one representation (e.g., equation) into another (e.g. table) while preserving the relationship.

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Study Notes

  • Melissa sells toy cars for $1.50 each.
  • The equation to represent Melissa's earnings (m) for selling any number of toy cars (c) is m=1.50c.
  • A car travels a certain distance, "d," over time, "t".
  • Nathan's equation d=60t represents a situation where d is the distance, t is time, and 60 is a constant.
  • A bookstore provides coupons for $2 off each book.
  • a=e-4 is the equation and represents the shared relationship between Amanda's age, "a," and Estaban's age, "e."
  • Check tables to see if the data is correct.

Spiral Review

  • 25% of 40 = 10.
  • 30% of 60 = 18.
  • 45% of 90 = 40.5.
  • If Bao earned $9.80 selling lemonade at $0.35 per cup, then they sold 28 cups of lemonade
  • Bao spent $2.50 on 50 paper cups at $0.05 each..

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Description

Explores equations representing real-world scenarios like selling toy cars and age relationships. Includes practical exercises on calculating percentages and applying them to problem-solving situations. Also includes checking tables to see if the data is correct.

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