Question

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).

Answer 1

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

B(m)=176m

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