Question: Solve all 3 problems please and show written work 86. Internet Purchases An Internet bookstore charges $15 ship- ping for orders under $100 but provides

Solve all 3 problems please and show written work

Solve all 3 problems please and show written work 86. Internet Purchases

86. Internet Purchases An Internet bookstore charges $15 ship- ping for orders under $100 but provides free shipping for orders of $100 or more. The cost C of an order is a function of the total price x of the books purchased, given by C(x) = x+ 15 if x 100 (a) Find C(75), C(90), C(100), and C(105). mod a ba- (b) What do your answers in part (a) represent? 87. Cost of a Hotel Stay A hotel chain charges $75 each night for the first two nights and $50 for each additional night's stay. The total cost T is a function of the number of nights x that a guest stays. (a) Complete the expressions in the following piecewise defined function. T (x ) = if 0 Ex-2 if x > 2 = (91 .22 (b) Find T(2), T(3), and T(5). S + (c) What do your answers in part (b) represent? 88. Speeding Tickets In a certain state the maximum speed per- mitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum. (a) Complete the expressions in the following piecewise defined function, where x is the speed at which you are driving. if 0 65 (b) Find F(30), F(50), and F(75). (c) What do your answers in part (b) represent

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