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)ResponsesThe 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 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 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.
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The correct interpretation of the initial value of the function \( f(x) = -75x + 1200 \) is:
The initial value of 1,200 represents the value of your cell phone at the time you purchase it.
In the context of this function, when \( x = 0 \) (which corresponds to the time of purchase), the value of the cell phone is given by \( f(0) = 1200 \). Thus, the initial value indicates the price of the cell phone at the moment you buy it.
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