Question

The money collected from a Saturday car wash are directly proportional to the number of cars washed. The total money collected after 7 cars is $140. Write an direct variation equation relating the money collected (m) and the number of cars washed

Answer 1

7x140=980

Explanation:

7x140= what

Answer 2

`m=20c`

Explanation:

Let m represent the total money collected and c represent the amount of cars washed.

We know that the money collected is directly proportional to the number of cars washed. So, we can write the following equation:

`m=kc`

Where k is a constant.

We know that the money collected after 7 car washes is $140. So, let's find our k by substituting 140 for m and 7 for c. This yields:

`140=7k`

Find k. Divide both sides by 7:

`k=20`

So, the value of k is 20.

We can now substitute k back into our direct variation equation:

`m=20c`

This means that every car costs $20 to wash.

And we're done!