Melissa will participate in a charity walkathon. Her mother will donate $10 for Melissa's participation plus an additional $2 for each mile that Melissa walks

Question

Melissa will participate in a charity walkathon. Her mother will donate $10 for Melissa's participation plus an additional $2 for each mile that Melissa walks

Parts A
If Melissa walks 15 miles, what amount of her mother's donation will be?

Part B

What equation expresses P, the amount in dollars, of Melissa's mother's donation as a function of M, the number of miles that Melissa walks?
A. P= M+10
B.P=2m+10
C.P=10M+2
D. P= 2(M+10)

Part C.
If the donation is $44, how many miles did Melissa walk?

Answer 1

Part A: If Melissa walks 15 miles, her mother's donation will be $10 + ($2 x 15) = $40.

Part B: The correct equation expressing P, the amount in dollars, of Melissa's mother's donation as a function of M, the number of miles that Melissa walks is B. P = 2M + 10.

Part C: If the donation is $44, we can plug this into the equation P = 2M + 10.
$44 = 2M + 10
$34 = 2M
M = 17 miles

Therefore, Melissa walked 17 miles.