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?
Part D.
Melissa wants her mother to donate at least $65. Which of the listed numbers of miles would make the donation at least $65?
Select all that apply
A.23 miles
B.25 miles
C.27 miles
D.29 miles
E.31 miles
Part A:
If Melissa walks 15 miles, the amount of her mother's donation will be $10 + ($2 * 15) = $10 + $30 = $40.
Part B:
The correct equation is: P = 2M + 10
Part C:
To find the number of miles Melissa walked when the donation is $44, we can rearrange the equation:
$44 = 2M + 10
$34 = 2M
M = 17 miles
Part D:
To find out which number of miles would make the donation at least $65, we can use the equation P = 2M + 10:
A. 23 miles: P = 2(23) + 10 = 46 + 10 = 56 (not at least $65)
B. 25 miles: P = 2(25) + 10 = 50 + 10 = 60 (not at least $65)
C. 27 miles: P = 2(27) + 10 = 54 + 10 = 64 (not at least $65)
D. 29 miles: P = 2(29) + 10 = 58 + 10 = 68 (at least $65)
E. 31 miles: P = 2(31) + 10 = 62 + 10 = 72 (at least $65)
Therefore, Melissa would need to walk 29 and 31 miles to make the donation at least $65.