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A car rental company charges an initial fee plus an additional fee for each mile driven. The charge depends on the type of careconomy luxury The charge E dollars) to rent an economy car is given by the function E = 15.95 + 0.60M where M is the number of miles drivenThe charge (dollars) to rent a luxury car is given by the function L = 18.20 + 1.25M be how much more it costs to rent a luxury car than an economy car (in dollars)an equation relating C to Simplify your answer as much as possible

A car rental company charges an initial fee plus an additional fee for each mile driven The charge depends on the type of careconomy luxury The charge E dollars class=

Respuesta :

C=34.15+0.65M

Explanation

Given

[tex]\begin{gathered} E=15.95+0.60M \\ L=18.20+1.25\text{ M} \\ where \\ E\text{ is the cost to rental an Economy car} \\ Lis\text{ the total cost to rental an Luxury car} \\ M\text{ is the number of miles traveled} \end{gathered}[/tex]

so

to Know C, how much more it costs to rent a Luxuy can than an economc, we need to do a subtraction, hence

[tex]\begin{gathered} C(M)=L(M)-E(M) \\ \end{gathered}[/tex]

so, replace and simplify

[tex]\begin{gathered} C(M)=L(M)-E(M) \\ C=18.20+1.25M-(15.95+0.60M) \\ C=18.20+1.25M-15.95-0.60M \\ C=34.15+0.65M \end{gathered}[/tex]

therefore, the answer is

C=34.15+0.65M

I hope this helps you

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