18 Questions
What is the maximum profit according to the given information?
More than $900,000
For the linear function graphed below, what is the correct equation?
$y=2x+1$
Which equation correctly models the depreciation of Samantha's car after t years from the initial purchase?
$D(t)=-3500t+41,500$
What does the slope of the depreciation function ($-3,500$) indicate in practical terms?
The car decreases in value by $3,500 each year.
What is the initial purchase price of Samantha's car based on the depreciation function?
$$79,500$$
If Samantha wanted to calculate the car's value after 3 years using the depreciation function, what amount should she expect?
$$34,500$$
What is the slope of the car's depreciation model?
$-3,500
Based on the given information, what is the initial purchase price of Samantha's car?
$79,500
What would be the total cost of the ticket for traveling 25 miles?
$33.00
If the function definition for f(x) is rearranged to be single-piece, how would it look?
$x + 2$
What is the expression for the total cost of a subway ticket, C(x), if x represents the number of miles traveled?
$1.30x$ if $x leq 20$, $1.15(x-20)$ if $x > 20$
Bonus Question: What is the maximum number of miles MJ can travel on the subway with $24?
Between 15 and 17 miles
What does the function y = x - 4 represent in the given context?
The cost of producing each DVD player
How are the x-intercepts related to profit in the context of the DVD player manufacturer's function?
They indicate the number of DVD players needed to break even
What does the value 258 in the profit function represent?
The rate of change of profit
What is the significance of the open interval (150, 6450) in relation to the profit function?
It represents a range of increasing profits
Why is it important for a manufacturer to know the maximum profit according to the model?
To assess potential profits and make business decisions
If a different linear function were to represent revenue instead of cost, how would this impact profit calculations?
It would not affect profits directly as revenue and cost are separate
Test your knowledge with practice questions from Math 112 Spring 2024 Midterm 1. Solve problems involving car value depreciation and graphing functions. Choose the correct answers from the multiple-choice options provided.
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