The function y = 5.45 + 1.05(x + 7) can be used to determine the cost in dollars for a prepaid cell phone plan of x minutes. What is the rate of change of the cost, in dollars, with respect to the number of minutes purchased?

The rate of change of the cost, in dollars, with respect to the number of minutes purchased is 1.05 and this can be determined by differentiating the given function.

Given :

Function -- y = 5.45 + 1.05(x + 7)
'y' is the cost in dollars for a prepaid cell phone plan of 'x' minutes.

In order to determine the rate of change of the cost, in dollars, with respect to the number of minutes purchased, differentiate the given function with respect to 'x'.

y = 5.45 + 1.05(x + 7)

y = 5.45 + 1.05x + 7.35

y = 12.8 + 1.05x

Now, differentiate the above equation with respect to 'x'.

[tex]\dfrac{dy}{dx} = 0 + 1.05[/tex]

So, the rate of change of the cost, in dollars, with respect to the number of minutes purchased is 1.05.

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https://brainly.com/question/21835898