Question

input : output:
yards feet
1 → f(1)=3
2 → f(2)=6
10.5 → f(10.5)=??
what number will the function return if the input is 10.5?
a. 30.5
b. 12.5
c. 31.5
d. 13.5

Explanation:

Step1: Identify the relationship

From the given data, when input (yards) is 1, output (feet) is 3; when input is 2, output is 6. So the relationship is \( f(x) = 3x \) (since 1 yard = 3 feet).

Step2: Calculate \( f(10.5) \)

Substitute \( x = 10.5 \) into the function \( f(x) = 3x \).
\( f(10.5) = 3 \times 10.5 \)
\( 3 \times 10.5 = 31.5 \)

Answer:

C. 31.5