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)=◻

Understand B(m): To find the formula for B(m), we need to understand that B(m) represents the additional distance covered due to the moving sidewalk alone, without Roberto's walking effort. This means we need to subtract the distance Roberto covers by walking from the total distance covered on the moving sidewalk.Calculate D(m) and A(m): The formula for the distance Roberto covers by walking is D(m) = 264m. The formula for the total distance covered on the moving sidewalk is A(m) = 440m. To find the distance covered by the moving sidewalk alone, we subtract D(m) from A(m).Derive formula for B(m): The formula for B(m) in terms of D(m) and A(m) is B(m) = A(m) - D(m).Substitute given functions: Now we substitute the given functions into the formula for B(m). We have A(m) = 440m and D(m) = 264m. So, B(m) = 440m - 264m.Perform subtraction: We perform the subtraction to find B(m) in terms of m. B(m) = 440m - 264m = 176m.

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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 $A(m)=440 m$ . $\newline$ Let $B$ be the distance, in feet, that Roberto would travel on the moving sidewalk in $m$ minutes if he were standing still. $\newline$ Write a formula for $B(m)$ in terms of $D(m)$ and $A(m)$ . $\newline$ $B(m)=$ $\newline$ Write a formula for $B(m)$ in terms of $m$ . $\newline$ $B(m)=\square$

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Grade 7

Evaluate two-variable equations: word problems

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Q. 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

\newline

Let

B

be the distance, in feet, that Roberto would travel on the moving sidewalk in

m

minutes if he were standing still.

\newline

Write a formula for

B(m)

in terms of

D(m)

and

A(m)

\newline

B(m)=

\newline

Write a formula for

B(m)

in terms of

m

\newline

B(m)=\square

Understand $B(m)$ : To find the formula for $B(m)$ , we need to understand that $B(m)$ represents the additional distance covered due to the moving sidewalk alone, without Roberto's walking effort. This means we need to subtract the distance Roberto covers by walking from the total distance covered on the moving sidewalk.
Calculate $D(m)$ and $A(m)$ : The formula for the distance Roberto covers by walking is $D(m) = 264m$ . The formula for the total distance covered on the moving sidewalk is $A(m) = 440m$ . To find the distance covered by the moving sidewalk alone, we subtract $D(m)$ from $A(m)$ .
Derive formula for $B(m)$ : The formula for $B(m)$ in terms of $D(m)$ and $A(m)$ is $B(m) = A(m) - D(m)$ .
Substitute given functions: Now we substitute the given functions into the formula for $B(m)$ . We have $A(m) = 440m$ and $D(m) = 264m$ . So, $B(m) = 440m - 264m$ .
Perform subtraction: We perform the subtraction to find $B(m)$ in terms of $m$ . $B(m) = 440m - 264m = 176m$ .