Question

Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48. Write an equation in standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days.

Write the equation obtained in part A using function notation

Answer 1

let the general equation relating rented price and number of days is

$$y=kx+c$$

We have to find values of k and c. For first case ,We have

$$36=(5k+c).........(1)$$

For second case ,We have

$$48=(8k+c).......(2)$$

Now by solving equations (1) and (2) ,we get $k=4$ and $c=16.$

Thus required equation is $y=4x+16$ .

Where y is rented price for x days.