A company rents cars at $45 a day and 12 cents a mile. its competitor's cars are $60 a day and 5 cents a mile. (a) for each company, give a formula for the cost of renting a car for a day as a function of the distance traveled. assume distance m is measured in miles. assume cost c is measured in dollars. first company: c (m) =

The formula for the cost of renting a car for a day for two companies will be as follows:

The cost of renting a car follows a linear model given by:

f (x) = mx+c

where:

where f (x) = total cost

x=independent variable which is number of miles

m=slope=cost of renting per mile

c=constant daily payments

thus;

formula for:

company a will be:

C (m) = 0.12m+45

C (m) is total cost, m is number of miles

company b:

c (m) = 0.05m+60

where:

c (m) is the total cost, m is the number of miles in a day.