Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function D (m) = 264m. When he walks on the moving sidewalk at the airport, the distance, A, in feet, that he can cover in m m minutes is given by the function A (m) = 440m. Let B be the distance, in feet, that Roberto would travel on the moving sidewalk in m m minutes if he were standing still. Write a formula for B (m) in terms of D (m) and A (m).

Question

Juarez

Mathematics

10 December, 10:16

Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function D (m) = 264m. When he walks on the moving sidewalk at the airport, the distance, A, in feet, that he can cover in m m minutes is given by the function A (m) = 440m. Let B be the distance, in feet, that Roberto would travel on the moving sidewalk in m m minutes if he were standing still. Write a formula for B (m) in terms of D (m) and A (m).

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Answers (1)

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Laney Bruce · Answer 1

B (m) = A (m) - D (m)

B (m) = 176m

Step-by-step explanation:

we are given

Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function

D (m) = 264m

When he walks on the moving sidewalk at the airport, the distance, A, in feet, that he can cover in m m minutes is given by the function

A (m) = 440m

B is the distance, in feet, that Roberto would travel on the moving sidewalk in m minutes if he were standing still

moving sidewalk distance = standstill distance + walking distance

A (m) = D (m) + B (m)

so, we get

B (m) = A (m) - D (m)

now, we can plug values

B (m) = 440m-264m

B (m) = 176m