A company offers four plans for customers who want to rent DVDs and video games.
ID: 3235561 • Letter: A
Question
A company offers four plans for customers who want to rent DVDs and video games. The costs of the plans can be modeled by a linear function that combines a one-time membership fee with a per disc rental rate. The table shows the total costs, including membership fees, for a person who rents 1, 2, and 5 discs in a month.
Cost of Repairs
Discs rented
Plan A
Plan B
Plan C
Plan D
1
$14
$12
$10
$12
2
$17
$16
$15
$21
5
$26
$28
$30
$48
Which plan has the smallest one-time membership fee?
plan A
plan B
plan C
plan D
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season. Which system represents this scenario?
Meg is printing a term paper for class at the rate shown in the table below. If the term paper is 60 pages long, how many total minutes will it take to print out? Assume that the printer prints the pages at a constant rate.
Meg’s Term Paper Printing Progress
Time (minutes)
3
4
5
6
7
Pages Printed
7.5
10
12.5
15
17.5
20 minutes
24 minutes
150 minutes
180 minutes
In the table, x represents the age in years of a collectible baseball card, and y represents its value in dollars.
Cost of a Pack of Baseball Cards
Age in years, x
Value in dollars, y
5
0.75
10
5.75
15
10.75
20
15.75
Which statement is correct about the slope of the linear function that the table represents?
The slope is positive because as the age decreases, the value increases.
The slope is positive because as the age increases, the value increases.
The slope is negative because as the age decreases, the value decreases.
The slope is negative because as the age increases, the value decreases.
An auto mechanic charges $50 to diagnose a problem and $25 per hour to repair the problem. If x represents the total number of hours worked and y represents the total charges, which equation represents this situation?
y = 25x + 50
y = 50x + 25
y = 50x – 25
y = 25x – 50
What is the solution to Kenya’s equation?
–4
12
no solution
infinitely many solutions
2 and 5
5 and 9
5 and 5
9 and 9
Cost of Repairs
Discs rented
Plan A
Plan B
Plan C
Plan D
1
$14
$12
$10
$12
2
$17
$16
$15
$21
5
$26
$28
$30
$48
12Explanation / Answer
2. slope = -.5
Passes through (4,-5)
y = -1/2x + k
Now, fit the value of 4,-5 here:
y= -1/2 (4) -3 = -5 which makes sense as y is -5 for our case
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