Question

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?

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

Answer 2

The linear function is y=2.5x+25

What is linear function?

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

As, we know equation of line

y=mx + b

x=number of newspapers

37.5=5m+b...............(1)

also,

75=20m+b....................(2)

Solving (1) and (2) , we get

37.5=15m

m=2.5

and, 75=2.5(20)+b

75=50+b

b= 25

Hence, y=2.5x+25 is linear function.

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