Bluebook SAT Test Linear Functions 7

Question 1

The cost of renting a bicycle is $5 per hour plus an additional one-time $8 fee. Which inequality represents the number of hours h for which the total cost is at most $33?

Accepted Answer

5h + 8 ≤ 33

Answer

Total cost = 5h + 8; for at most $33: 5h + 8 ≤ 33.

Question 2

What is the y-intercept of the line defined by the equation 2y − 6x = 10?

Accepted Answer

5

Answer

Divide by 2: y = 3x + 5, so the y-intercept is 5.

Question 3

A baker makes 12 loaves of bread per hour. She already has 8 loaves ready when the bakery opens. Which function gives the total number of loaves L(t) available after t hours of baking?

Accepted Answer

L(t) = 12t + 8

Answer

She starts with 8 (y-intercept) and produces 12 per hour (slope): L(t) = 12t + 8.

Question 4

A line passes through (a, 3) and (7, 9), and has a slope of 2. What is the value of a?

Accepted Answer

4

Answer

Slope = (9 − 3)/(7 − a) = 2 → 6 = 2(7 − a) → 6 = 14 − 2a → 2a = 8 → a = 4.

Question 5

Which of the following is the graph of a function with a negative slope and a positive y-intercept?

Accepted Answer

A line falling from left to right crossing the positive y-axis

Answer

Negative slope means the line falls left to right; positive y-intercept means it crosses the y-axis above the origin.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Linear Functions 7