The function f(x) = 9.75x + 62 models the amountof money that hector earned working x hours in aweek. the function g(x) = 7.5x + 84 models theamount of money that cart earned working xhours in the same week which function, h(x).models the difference in hector's and cari'searnings? a. h(x) = 17.25x - 22b. h(x) = 17.25x + 146c. h(x) = 2.25x - 22d. h(x) = 2.25x + 146

The answer is:

The third option,

c)

We are given the functions E(x) and K(x), since they both are function of the same variable, we need to calculate the difference between them.

From the statement we know the functions:

and

So, calculating the difference the functions we have:

Hence, the answer is the third option,

c)

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Option C

Step-by-step explanation:

To find the function h(x) that models the difference between Hector's and Cari's gains, subtract the functions f(x) with g(x)

That is to say:

We know that

Then we can find the function h(x)

x= 149. 24+7=31. 180-31=149

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