Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

Question

Mathematics

Marina Duarte

22 April, 07:53

Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

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Answers (1)

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Hannah Mcneil · Answer 1

Y=mx+b

x=number of newspapers

37.5 earned for 5 newspapers

37.5=5m+b

earned 75 and deliverd 20 newpapers

75=20m+b

we have

37.5=5m+b and

75=20m+b

multiply first equaiton by - 1 and add to other equaiton

-37.5=-5m-b

75=20m+b +

37.5=15m+0b

37.5=15m

divide both sides by 15

2.5=m

sub back to find b

75=2.5 (20) + b

75=50+b

minsu 50 both sides

25=b

y=2.5x+25 is lnear funtion