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

Question

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

Bytelearn · Accepted Answer

Understand B(m) Represents Additional Distance: To find the formula for B(m) in terms of D(m) and A(m), we need to understand that B(m) represents the distance Roberto would travel on the moving sidewalk if he were standing still. This means that B(m) is the additional distance provided by the moving sidewalk alone, without Roberto's walking effort.Find B(m) by Subtracting D(m) from A(m): Since A(m) represents the total distance covered with Roberto walking on the moving sidewalk, and D(m) represents the distance covered by Roberto walking on his own, we can find B(m) by subtracting D(m) from A(m). This gives us the distance contributed by the moving sidewalk alone.Use Formula B(m) = A(m) - D(m): The formula for B(m) in terms of D(m) and A(m) is: B(m) = A(m) - D(m)Substitute Given Functions into Formula: Now we substitute the given functions for D(m) and A(m) into the formula for B(m): B(m) = A(m) - D(m) B(m) = (440m) - (264m)Simplify Expression to Find B(m): Simplify the expression to find B(m) in terms of m: B(m) = 440m - 264m B(m) = 176m

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