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Franklin has delivered 26 newspapers and
can deliver 9 newspapers in an hour.
Michael has delivered 5 newspapers and can
deliver 12 newspapers in an hour. How
many hours (h) will Michael take to deliver
as many newspapers (n) as Franklin?
n = 9h+26
n = 12h + 5
[?] hours

Sagot :

Using linear functions, it is found that it will take 7 hours for Michael to deliver as many newspapers as Franklin.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The linear functions that give the amounts for Franklin and Michael after h hours are given by:

  • F(h) = 26 + 9h.
  • M(h) = 5 + 12h.

They will be equal when:

F(h) = M(h)

Hence:

26 + 9h = 5 + 12h

3h = 21

h = 7

It will take 7 hours for Michael to deliver as many newspapers as Franklin.

More can be learned about linear functions at https://brainly.com/question/24808124

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