Question

John earns $2,000 a month plus $250 every time he sells a car at the dealership where he works. Write a linear equation and use it to solve this - how many cars does he need to sell in order to earn $20,000 for one month?

Answer 1

To find out how many cars John needs to sell in order to earn $20,000 in a month, we can use the equation y = 2000 + 250x. By substituting y = 20000 into the equation and solving for x, we find that John needs to sell 72 cars in order to earn $20,000 in a month.

Step-by-step explanation:

To write a linear equation for John's earning, we need to consider his fixed monthly salary and the additional amount he earns for selling each car. Let x represent the number of cars he sells in a month. The equation to represent his earnings is y = 2000 + 250x.

To find out how many cars John needs to sell in order to earn $20,000 in a month, we can substitute y = 20000 into the equation and solve for x.

20000 = 2000 + 250x

Subtracting 2000 from both sides, we get 18000 = 250x.

Dividing both sides by 250, we find that x = 72.

Therefore, John needs to sell 72 cars in order to earn $20,000 in a month.