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)=10 d. 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) in terms of d.

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)=10 d. 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) in terms of  d.

Bytelearn · Accepted Answer

Total money calculation: The total money T(d) that Onur raises from both donors is the sum of the money he receives from the first donor, A(d), and the money he receives from the second donor, B(d). We can express this as T(d) = A(d) + B(d).Substituting formulas into T(d): Now we need to substitute the given formulas for A(d) and B(d) into the equation for T(d). The formula for A(d) is 10d, and the formula for B(d) is 2d + d^2. So, T(d) = A(d) + B(d) becomes T(d) = 10d + (2d + d^2).Simplifying the expression for T(d): Next, we simplify the expression for T(d) by combining like terms. This gives us T(d) = 10d + 2d + d^2, which simplifies to T(d) = 12d + d^2.

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