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Mathematics, 22.02.2021 06:10 yuluvk

The amounts of money Peter and Maria each charge to deliver food are described below. Peter charges a flat fee of $3.75 for each delivery plus $0.10 per mile for each mile he drives.

Maria charges a flat fee of $2.25 for each delivery plus $0.25 per mile for each mile she drives.

Peter says there are two distances for which he and Maria charge the same amount. To prove Peter is not correct, Maria graphs a line for her delivery charges and a line for Peter’s delivery charges. Each line represents the relationship between the amount (y), in dollars, each person charges for delivery, and the distance (x), in miles, each drives for the delivery.

Without showing the graph, explain how Maria’s graph of the two lines proves Peter is not correct.

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