Question

1. a function is shown below.

$f(x) = -\frac{1}{3}x + k$
if $f(21) = 12$, what is the value of $k$?
type a response

Explanation:

Step1: Substitute x = 21 into f(x)

We know that \( f(x)=-\frac{1}{3}x + k \), so when \( x = 21 \), we have \( f(21)=-\frac{1}{3}\times21 + k \).

Step2: Simplify the equation

Calculate \( -\frac{1}{3}\times21=-7 \), so the equation becomes \( 12=-7 + k \).

Step3: Solve for k

Add 7 to both sides of the equation: \( k = 12 + 7 = 19 \).

Answer:

19