Question

Two car rental companies have the following payment plans: Cart: $90 per week and 15c per kilometre Renta: $110 per week and 10c per kilometre What is the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta?​

Answer 1

Using linear function concepts, it is found that the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.

What is a linear function?

A linear function is modeled by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0.

For each car, Cart and Renta, the linear functions are given by:

C(k) = 90 + 0.15k

R(k) = 110 + 0.1k

Cart will cost less than Renta if:

C(k) < R(k)

Hence:

90 + 0.15k < 110 + 0.5k

0.05k < 20

k < 400

Hence, the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.

More can be learned about linear function concepts at brainly.com/question/24808124