The function f(x)=−75x+1,200

Question

f
(
x
)
=
−
75
x
+
1
,
200
represents the value of your cell phone x
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 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.
The initial value of 1,200 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.

Answer 1

The initial value of the function \( f(x) = -75x + 1200 \) corresponds to the value of your cell phone at the time you purchase it, which is when \( x = 0 \).

So, when you substitute \( x = 0 \):

\[ f(0) = -75(0) + 1200 = 1200 \]

Thus, the correct interpretation is:

The initial value of 1200 represents the value of your cell phone at the time you purchase it.