Question

a car can travel ( d ) miles in ( t ) hours. which rational expression represents the car’s average speed?
( \bigcirc ) ( \frac{d}{t} )
( \bigcirc ) ( \frac{t}{d} )
( \bigcirc ) ( d + t )
( \bigcirc ) ( d cdot t )

Explanation:

Step1: Recall the formula for speed

The formula for average speed is \( \text{speed} = \frac{\text{distance}}{\text{time}} \).

Step2: Identify distance and time

Here, the distance traveled is \( d \) miles and the time taken is \( t \) hours.

Step3: Substitute into the formula

Substituting the given distance (\( d \)) and time (\( t \)) into the speed formula, we get the average speed as \( \frac{d}{t} \).

Answer:

\( \boldsymbol{\frac{d}{t}} \) (corresponding to the first option)