Bluebook SAT Test Linear Functions 11

Question 1

Line s passes through (−4, 3) and (0, −1). What is the equation of line s?

Accepted Answer

y = −x − 1

Answer

Slope = (−1 − 3)/(0 − (−4)) = −4/4 = −1; y-intercept = −1, so y = −x − 1.

Question 2

A linear model predicts that every additional hour of study increases a test score by 4 points, starting from a base of 58. Which equation represents score S after h hours?

Accepted Answer

S = 4h + 58

Answer

The rate of increase is 4 per hour (slope = 4) and the initial score is 58 (y-intercept), giving S = 4h + 58.

Question 3

If f(3) = 11 and the rate of change is −3, what is f(6)?

Accepted Answer

2

Answer

From x = 3 to x = 6 is 3 steps; f(6) = 11 + 3(−3) = 11 − 9 = 2.

Question 4

Which line has an undefined slope?

Accepted Answer

x = 7

Answer

A vertical line such as x = 7 has undefined slope because the change in x is zero.

Question 5

The function P(w) = 80w − 320 gives weekly profit P in dollars when w workers are employed. How many workers are needed to break even?

Accepted Answer

4

Answer

P(w) = 0 → 80w = 320 → w = 4.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Linear Functions 11