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?

The profit increases by $2,000 − $600 = $1,400 when the number of lawns increases by 25 − 11 = 14, so the rate is $100 per lawn. From 11 lawns to 36 lawns is 25 more lawns, adding 25 × $100 = $2,500 to the $600 profit. The profit would be $3,100, which is choice C.

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