Question

Onur is participating in a walkathon fundraiser. Two donors promised to donate money based on the total distance he walks. The money, A, in dollars, that he receives from the first donor given that he walks d kilometers is given by the formula A(d)=10d. The money, B, in dollars, that he receives from the second donor given that he walks d kilometers is given by the formula B(d)=2d+d^2.

Let T be the total money that Onur raises from those donors by walking d kilometers in the walkathon.

Write a formula for T(d), in terms of A(d) and B(d).
T(d)= ?

Write a formula for T(d), terms of d.
T(d)=?

Answer 1

1. T(d) = A(d) + B(d)

2. T(d) = 12d + d²

Explanation:

From the question given above, the following data were obtained:

A(d) = 10d

B(d) = 2d + d²

1. Determination of the formula of T(d) in terms of A(d) and B(d).

T(d) is the total money obtained. Thus,

T(d) = A(d) + B(d)

2. Determination of the formula of T(d) in terms of d.

A(d) = 10d

B(d) = 2d + d²

T(d) =?

T(d) = A(d) + B(d)

T(d) = 10d + 2d + d²

T(d) = 12d + d²