College

A yard is equal in length to three feet. The function [tex]f(x)[/tex] takes a measurement in yards (as input) and returns a measurement in feet (as output).

[tex]f(x) = 3x[/tex]

| Input (Yards) | Output (Feet) |
|---------------|------------------|
| 1 | [tex]f(1) = 3[/tex] |
| 2 | [tex]f(2) = 6[/tex] |
| 12.2 | [tex]f(12.2) = \text{??}[/tex] |

What number will the function return if the input is [tex]12.2[/tex]?

A. 15.2
B. 14.2
C. 36.2
D. 36.6

Answer :

To solve this problem, we need to convert a measurement from yards to feet using the function [tex]\( f(x) = 3x \)[/tex]. This function indicates that for every yard, there are 3 feet.

Here are the steps to find out what number the function will return for an input of 12.2 yards:

1. Identify the number of yards: The given input is 12.2 yards.

2. Use the function [tex]\( f(x) = 3x \)[/tex]:
- Multiply the number of yards (12.2) by 3 to convert it to feet.
- This means we calculate:
[tex]\[
f(12.2) = 3 \times 12.2
\][/tex]

3. Perform the multiplication:
- Multiply 12.2 by 3, which results in 36.6.

Therefore, when the input is 12.2 yards, the function returns 36.6 feet. The correct answer is D. 36.6.

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