Question

Aditi is participating in a walkathon fundraiser. Two anonymous donors agree to donate money according to the distance she walks. The money, A(d), in dollars, that she receives from the first donor for walking d kilometers is given by the formula A(d) = 12d. The total money, T(d), in dollars, that she receives from both donors for walking d kilometers is given by the formula T(d) = d² + 20d. Let B(d) be the money that Aditi receives from the second donor for walking d kilometers. Write a formula for B(d) in terms of A(d) and T(d).

a. B(d)=T(d)−A(d)
b. B(d)=T(d)+A(d)
c. B(d)= T(d)/A(d)
d. B(d)=T(d)×A(d)

Answer 1

The formula for the money Aditi receives from the second donor for walking d kilometers is B(d) = T(d) − A(d), as A(d) is included in the total T(d) and needs to be subtracted to find the second donor's contribution.

Step-by-step explanation:

The student is given two formulas: A(d) = 12d, which represents the money received from the first donor based on the distance walked in kilometers, and T(d) = d² + 20d, which is the total money received from both donors. To find the formula for B(d), which is the money received from the second donor, one simply needs to subtract A(d) from T(d).

Hence, the correct formula is:

B(d) = T(d) − A(d)

We subtract because A(d) is already part of the total amount T(d), and we want to isolate the contribution from the second donor.