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the equation y=3.25x + 8.5 models the distance,y, in miles, that the athlete will run in week x. for which week is the number of miles given by the equation greater than the actual number of miles the athlete will run?

1 Answer

3 votes

We will need to check for each week

y = 3.25x + 8.5

week 1

substitute x = 1 in the above

y = 3.25(1) + 8.5 = 3.25 + 8.5 = 11.75

11.75 is less than 13

week 2

substitute x= 2 into the equation

y = 3.25(2) + 8.5 = 6.5 + 8.5 = 15

15 is less than 15.5

week 3

substitute x=3 into the equation

y = 3.25(3) + 8.5 = 9.75 + 8.5 = 18.25

18.25 is greater than 15.5

week 4

substitute x=4 into the equation

y =3.25(4) + 8.5 = 13 + 8.5 = 21.5

21.5 is less than 22.5

week 5

substitute x = 5 into the equation

y = 3.25(5) + 8.5 = 16.25 + 8.5=24.75

This is greater than 23

week6

substitute x=6 into the equation

y = 3.25 (6) + 8.5 = 19.5 + 8.5 =28

28 is less than 30

Hence in week 3 and week 5, the number of miles given by the equation is greater than the actual number of miles the athlete will run.

User Saul Montilla
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