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Onur is participating in a walkathon fundraiser. Two donors promised to donate money based on the total distance he walks. The money, AAA, in dollars, that he receives from the first donor given that he walks ddd kilometers is given by the formula A(d)=10dA(d)=10dA, left parenthesis, d, right parenthesis, equals, 10, d. The money, BBB, in dollars, that he receives from the second donor given that he walks ddd kilometers is given by the formula B(d)=2d+d^2B(d)=2d+d
2
B, left parenthesis, d, right parenthesis, equals, 2, d, plus, d, squared. Let TTT be the total money that Onur raises from those donors by walking ddd kilometers in the walkathon. Write a formula for T(d)T(d)T, left parenthesis, d, right parenthesis in terms of A(d)A(d)A, left parenthesis, d, right parenthesis and B(d)B(d)B, left parenthesis, d, right parenthesis



Answer :

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The formula for T(d) in form of A(d) and B (d) is T(d)= A(d)+B(d)

T(d) = d² +12d

T(d) → total money received from both donors by walking distance d kilometers

A(d) → money receive from first donor by walking distance d in kilometers

B(d) →money receive from second donor by walking distance d kilometers

Firstly , we write the given values the money A in dollars which he receives from first donor given that he walks d kilometers

Mathematically, A(d) = 10 d ---(1)

And the money which he receives from second

donor in mathematically form

B(d)= d²+2d ---(2)

Now, T(d) denotes the total money that owner from both of donors A and B by walking d kilometers. The next step is

To determine to formula of T(d) in the form of A(d) and B(d)

Total money received from donors , T(d) = A(d)+B(d)

From equation (1)and (2) we get , T(d)= 10d + d×d + 2d

=> T(d) = d²+ 12d

To learn more about distance equation , refer:

https://brainly.com/question/22698768

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