Question

Lucia walked for 10 miles at an average speed of c miles per hour for d hours. Which equation represents this situation? a. c+d=10b. c-d=10c. cd=10d. (d/c)=10

Answer 1

cd=10

Explanation

Step 1

the speed of an object is the distance it moved in a given time

$\text{speed}=\frac{dis\tan ce}{\text{time}}$

Let

c represents the speed in miles per hour

d represents the time in hours

distance=10 miles

Then

Step 2

replace

$\begin{gathered} \text{speed}=\frac{dis\tan ce}{\text{time}} \\ \\ c=\frac{10\text{ miles}}{d} \\ \text{Multiply both sides by d} \\ cd=\frac{10\text{ miles}}{d}\cdot d \\ cd=10\text{ miles} \\ cd=10 \end{gathered}$

so, the answer is

C. cd=10

I hope this helps you.