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QuizMultiple Choice

Writing Two-Variable Linear Equations — Quiz

Question 1 • Algebraic Reasoning

A landscaper makes a 2 dollars comma 000 profit in a week when he services 25 lawns. He makes a 600 dollars 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
A
3 dollars comma 600
B
2 dollars comma 600
C
3 dollars comma 100
D
2 dollars comma 880

Explanation

The profit increases by $2,000 − $600 = $1,400 when the number of lawns increases by 25 − 11 = 14. That is $100 per lawn. From 25 to 36 lawns is 11 more lawns, so the profit increases by 11 × $100 = $1,100, giving $2,000 + $1,100 = $3,100. The correct choice is C, $3,100.

AI-written and checked against the verified answer.

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