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16 B+3.5 W=22
Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends
B hours biking and
W hours walking, the trip is modeled by the equation shown. What is the meaning of the
16 B in the equation?
Choose 1 answer:
(A) Antoine travels a total of
16 B miles.
B Antoine bikes for a total of
16 B hours.
(C) Antoine bikes for
16 B miles.
(D) Antoine rides his bike at an average speed of
16 B miles per hour.

$16 B+3.5 W=22$ $\newline$ Antoine bikes part of the way on a $22$ mile trail and walks the rest of the way. If he spends $B$ hours biking and $W$ hours walking, the trip is modeled by the equation shown. What is the meaning of the $16 B$ in the equation? $\newline$ Choose $1$ answer: $\newline$ (A) Antoine travels a total of $16 B$ miles. $\newline$ (B) Antoine bikes for a total of $16 B$ hours. $\newline$ (C) Antoine bikes for $16 B$ miles. $\newline$ (D) Antoine rides his bike at an average speed of $16 B$ miles per hour.

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One-step inequalities: word problems

Full solution

Q.

16 B+3.5 W=22

\newline

Antoine bikes part of the way on a

22

mile trail and walks the rest of the way. If he spends

B

hours biking and

W

hours walking, the trip is modeled by the equation shown. What is the meaning of the

16 B

in the equation?

\newline

Choose

1

answer:

\newline

(A) Antoine travels a total of

16 B

miles.

\newline

(B) Antoine bikes for a total of

16 B

hours.

\newline

(C) Antoine bikes for

16 B

miles.

\newline

(D) Antoine rides his bike at an average speed of

16 B

miles per hour.

Total Distance Modeled: The equation models the total distance Antoine travels, which is $22$ miles.
Distance Antoine Bikes: The term $16B$ must represent the distance Antoine bikes because it's multiplied by the time $B$ he spends biking.
Speed Calculation: Since the unit for $B$ is hours, the coefficient $16$ must represent the speed in miles per hour.
Calculation Explanation: Therefore, $16B$ means Antoine bikes for $16$ miles per hour times the number of hours he bikes.

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