7

Set 1: Linear Functions (Advanced)

Explanation

Answer: C

PROBLEM

If f(x) = ax + b, f(0) = 5, and f(2) = 11, find a.

If f(x) = ax + b, f(0) = 5, and f(2) = 11, find a.

A.

6

B.

4

C.

3

✓ Correct
D.

2

Detailed Explanation

Choice C is the best answer. b = 5. 2a + 5 = 11, a = 3

Why others are wrong:
A: 6 is incorrect because it does not satisfy the equation.
B: 4 is incorrect because it does not satisfy the equation.
D: 2 is incorrect because it does not satisfy the equation.