Question

Mark is taking pledges for bike-a-thon fundraiser. John pledged $2.00, plus $1.75 for each mile Mark bikes. Kiara pledged $5.25, plus $0.25 for each mile Mark bikes. Write an expression for the numbers of dollars pledged and the number of dollars kiara pledged . Use M for the number of miles that Mark bikes.

Answer 1

The equation for the amount of dollars pledged in total is f(M) = 2.00M + 7.25, and the amount for just Kiara is f(M) = 0.25M + 5.25

Explanation:

The amount they pledge up front is a constant and therefore need to be added to the end of the equation. The amount per mile should be a variable amount. This gets multiplied by the M variable. So we start with the Kiara amount.

0.25 per mile = 0.25M

5.25 pledged = 5.25

Now put them together to get f(M) = 0.25M + 5.25

Do the same with Mark.

1.75 per mile = 1.75M

2.00 pledged = 2.00

Now put them together to get f(M) = 1.75M + 2.00

To get the final total, we add both equations together.

f(M) = 0.25M + 5.25 + 1.75M + 2.00

f(M) = 2.00M + 7.25