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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 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.
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 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.
1 answer
The correct response 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 in the function \( f(x) = -75x + 1,200 \) occurs when \( x = 0 \), which gives \( f(0) = 1,200 \). This indicates that the value of the cell phone at the time of purchase (when no months have passed) is $1,200.
