value rent-a-car rental a luxury car at a daily rate of $40.67 plus 10 cents per mile.A business person is alloted $110 for a car rental each day.How many miles can the business person travel on the $110?

Respuesta :

The business person can travel for 693.3 miles

Solution:

value rent-a-car rental a luxury car at a daily rate of $40.67 plus 10 cents per mile

1 dollar = 100 cents

[tex]10\ cents = \frac{10}{100}\ dollar\\\\10\ cents = 0.1\ dollar[/tex]

Let "m" be the number of miles

Therefore, total cost to rent is given as:

Total cost = 40.67 + 0.1(number of miles)

Total cost = 40.67 + 0.1m

A business person is alloted $110 for a car rental each day

Therefore, total cost = 110

Thus we get,

110 = 40.67 + 0.1m

Solve for "m"

0.1m = 110 - 40.67

0.1m = 69.33

Divide both sides by 0.1

m = 693.3

Thus business person can travel for 693.3 miles