Translate to an algebraic expression.
-Robbie drove his car at 65 mph for x hours. How many miles did he travel?
A) $65 x$
B) $\frac { x } { 65 }$
C) $65 - x$
D) $\frac { 65 } { x }$

Question

Translate to an algebraic expression.
-Robbie drove his car at 65 mph for x hours. How many miles did he travel? 
A) $65 x$
B) $\frac { x } { 65 }$
C) $65 - x$
D) $\frac { 65 } { x }$

Quizplus · Accepted Answer

Since distance is equal to rate times time, the algebraic expression for the distance Robbie travels can be written as 65x, where x represents the number of hours he drives. Choice B represents the reciprocal of the rate, which does not give the correct units of miles. Choice C represents the difference between the rate and time, which does not make sense in this context. Choice D represents the inverse of the time, which also does not give the correct units of miles.

Translate to an Algebraic Expression 65x65 x65x B) x65\frac { x } { 65 }65x​

Translate to an Algebraic Expression $65 x$ B) $\frac { x } { 65 }$