Write a function rule for the total bill What would be the bill for a 7 day rental?

Question

A car rental agency charges $33 per day to rent a car and $14.95 per day for a global positioning system (GPS). Customers are charged for their full tank of gas at $4.10 per gallon. A car has a 13 gallon tank and a GPS.
a) Write a function rule for the total bill b as a function of the days d the car is rented.
b) What is the bill for a 7 day rental?

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Answer 1 · 2018-03-23T13:21:33

a) $f (d) = $ 47.95 d + $ 53.3$ $f(d) = $47.95d + $53.3$

b) $$ 388.95$ $$388.95$

Let, Total Bill $b = f (d)$ $b = f(d)$ ; If you take the car in rent for $d$ $d$ days.

So, The Car Rent Cost = $$ 33 \cdot d = $ 33 d$ $$33 * d = $33d$

The GPS Rent Cost = $$ 14.95 \cdot d = $ 14.95 d$ $$14.95 * d = $14.95d$

The car contains a $13$ $13$ gallon tank, and the cost of fuel per gallon is $$ 4.10$ $$4.10$ .

So, The cost for fuelling = $13 \cdot $ 4.10 = $ 53.3$ $13 * $4.10 = $53.3$

According To The sum,

$\times b = $ 33 d + $ 14.95 d + $ 53.3 = $ 47.95 d + $ 53.3$ $color(white)(xx)b = $ 33d + $14.95d + $53.3 = $47.95d + $53.3$

$\Rightarrow f (d) = $ 47.95 d + $ 53.3$ $rArr f(d) = $47.95d + $53.3$ [Got the Function]

Now The Cost For 7 days rental :-

$f (7) = $ 47.95 \cdot 7 + $ 53.3 = $ 388.95$ $f(7) = $47.95 * 7 + $53.3 = $388.95$

Hence Explained.