Question

The function f(x)=−75x+1,200 represents the value of your cell phone x months after you purchase it. Identify and interpret the initial value of the function.(1 point) Responses The initial value of 75 represents the monthly cost of your phone. The initial value of 75 represents the monthly cost of your phone. The initial value of 1,200 represents the value of your cell phone at the time you purchase it. The initial value of 1,200 represents the value of your cell phone at the time you purchase it. The initial value of 75 represents the value of your cell phone at the time you purchase it. The initial value of 75 represents the value of your cell phone at the time you purchase it. The initial value of 1,200 represents the monthly cost of your phone.

Answer 1

The correct interpretation of the initial value of the function \( f(x) = -75x + 1,200 \) is:

**The initial value of 1,200 represents the value of your cell phone at the time you purchase it.**

This is because the initial value corresponds to the value of the phone when \( x = 0 \) (i.e., at the time of purchase). When substituting \( x = 0 \) into the function, we have:

\[
f(0) = -75(0) + 1,200 = 1,200
\]

Thus, the initial value is 1,200, indicating the value of the phone at the time of purchase.