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A car rental company charges a one-time application fee of 20 dollars, 45 dollars per day, and 15 cents per mile for its cars. Write a formula for the cost, C, of renting a car as a function of the number of days, d, and the number of miles driven, m.

Respuesta :

Answer:

[tex]C(d,m) = 20 + 45d + 0.15m[/tex]

Step-by-step explanation:

In this problem, we have that the cost of renting a car C is a function of the number of days d, and the number of miles driven, m.

There is also a fixed cost F.

So the equation for the cost of renting a car is:

[tex]C(d,m) = F + a*d + b*m[/tex]

In which a is the daily cost and b is the cost per mile.

A car rental company charges a one-time application fee of 20 dollars, 45 dollars per day, and 15 cents per mile for its cars.

This means that [tex]F = 20, a = 45, b = 0.15[/tex]

Write a formula for the cost, C, of renting a car as a function of the number of days, d, and the number of miles driven, m.

[tex]C(d,m) = 20 + 45d + 0.15m[/tex]

Lanuel

A formula for the cost (C) of renting a car from the company is [tex]C = 20 + 45d + 0.15m[/tex]

  • Let the number of days be d.
  • Let the rental cost be C.
  • Let the number of miles driven be m.
  • Let the application fee be F.

Given the following data:

  • Application fee = 20 dollars
  • Application fee per day = 45 dollars
  • Application fee per mile = 15 cents

Conversion:

1 cent = 100 dollar

15 cents = 0.15 dollar

To write a formula for the cost (C) of renting a car from the company:

In this exercise, you're required to write a mathematical equation (algebraic expression) that represents the total charges for renting a car from the company with respect to the total number of days and the number of miles driven.

Translating the word problem into an algebraic expression, we have;

[tex]C = F + 45d + 0.15m\\\\C = 20 + 45d + 0.15m[/tex]

Find more information on charges here: https://brainly.com/question/4728821

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