Bluebook SAT Test Linear Functions 16

Question 1

The function V(t) = 500 − 25t models the value (in dollars) of a laptop t months after purchase. After how many months will its value be $200?

Accepted Answer

12

Answer

500 − 25t = 200 → 25t = 300 → t = 12.

Question 2

What is the slope of a line that is parallel to the x-axis and passes through (2, −7)?

Accepted Answer

0

Answer

A line parallel to the x-axis is horizontal and has slope 0.

Question 3

Given f(x) = −2x + 10, over the interval 1 ≤ x ≤ 4, what is the difference f(1) − f(4)?

Accepted Answer

6

Answer

f(1) = 8; f(4) = 2; f(1) − f(4) = 6.

Question 4

A line has x-intercept 6 and y-intercept −4. What is the slope of the line?

Accepted Answer

2/3

Answer

Using points (6, 0) and (0, −4): slope = (0 − (−4))/(6 − 0) = 4/6 = 2/3.

Question 5

A taxi ride costs $3.00 plus $1.75 per mile. Which equation gives the total cost C for m miles and what is the cost for 8 miles?

Accepted Answer

C(m) = 1.75m + 3; $17.00

Answer

C(m) = 1.75m + 3; C(8) = 14 + 3 = $17.00.

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