Bluebook SAT Test Linear Functions 9

Question 1

A linear function f satisfies f(0) = 4 and f(3) = 13. What is the equation of f?

Accepted Answer

f(x) = 3x + 4

Answer

f(x) = 4x + 3

Answer

f(x) = 3x − 4

Answer

f(x) = 4x − 3

Question 2

What is the y-intercept of the line passing through (−2, 7) and (4, −5)?

Accepted Answer

3

Answer

−3

Answer

1

Answer

−1

Question 3

The linear function C(n) = 0.15n + 12 gives the monthly cost in dollars for n gigabytes of data used. What is the meaning of 12 in this context?

Accepted Answer

The fixed monthly base charge regardless of data used

Answer

The cost per gigabyte

Answer

The total cost for 12 gigabytes

Answer

The maximum data allowance

Question 4

Line q passes through (1, −1) and is parallel to y = 4x + 7. What is the equation of line q?

Accepted Answer

y = 4x − 5

Answer

y = 4x + 5

Answer

y = −(1/4)x − (3/4)

Answer

y = (1/4)x + 5

Question 5

If f(x) = ax + 6 and f(−2) = 0, what is the value of a?

Accepted Answer

3

Answer

−3

Answer

6

Answer

−6

Question 6

A school raises money at $3.50 per ticket sold. The function R(t) = 3.50t models total revenue. How many tickets t must be sold to raise exactly $245?

Accepted Answer

70

Answer

65

Answer

75

Answer

80

Question 7

What is the rate of change of the linear function described by the table? x: 2, 5, 8, 11 | y: 3, 12, 21, 30

Accepted Answer

3

Answer

9

Answer

6

Answer

4

Question 8

The equation of a line is 8x + 4y = 24. What is the slope of this line?

Accepted Answer

−2

Answer

2

Answer

3

Answer

−3