Question

A landscaper makes a $2,000 profit in a week when he services 25 lawns. He makes a $600 profit in a week when he services 11 lawns. If his profit for the week is a linear function of the number of lawns serviced, how much profit would he receive in a week that he services 36 lawns?

Answer 1

Step-by-step explanation:

Given that a landscaper makes a $2,000 profit in a week when he services 25 lawns. He makes a $600 profit in a week when he services 11 lawns.We are to calculate the profit that he will receive in a week that he services 36 lawns

Let 'x' represents the number of laws the landscaper serviced in a week in which he makes a profit of '$y'.

So, when x = 25, y = 2000 and when x = 11, y = 600.

Thus, A(25, 2000) and B(11, 600) are two points on the linear function that will be a straight line.

The equation of the line AB will be

Therefore, when he services 36 lawns, then x = 36. So,