Question

olivia is walking to raise money for the childrens hospital. people can choose to sponser her at two diffrent levels. the first plan pays 10 dollars up front and 50 cents per mile. the second plan pays 4 dollars then 2 dollars per mile. for how many miles will the two plans donate the same amount?

Answer 1

Using linear functions, it is found that the two plans will donate the same amount for 4 miles.

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.

In this problem, the functions for the amount donated with n miles are given by:

• f1(n) = 10 + 0.5n.

• f2(n) = 4 + 2n.

They will donate the same amount for n miles as such:

f1(n) = f2(n).

10 + 0.5n = 4 + 2n.

1.5n = 6

n = 6/1.5

n = 4.

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

#SPJ1