Question

Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive to the beach.

64t = 384

What is the unit rate in the equation above?
A.
64 miles per hour
B.
320 miles per hour
C.
384 miles per hour
D.
6 miles per hour

Answer 1

9514 1404 393

Answer:

A. 64 miles per hour

Explanation:

In a linear equation, the "unit rate" is generally the coefficient of the variable. The units of the unit rate depend on the definition of the relationship.

Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...

(miles/hour) × (hours) = miles

With numbers/variables, that is ...

(64 miles/hour) × (t hours) = 384 miles

The unit rate is 64 miles per hour.