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The distance traveled by a car at a constant rate is proportional to the time spent driving. In the equation d = 45t, d represents the distance (in miles) and t represents the time (in hours).

A. What is the constant of proportionality? _____ miles per hour

B. How far will a car travel in 3 hours? _______ miles

User TPete
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2 Answers

3 votes
It looks like the car is traveling 45mph so
A= 45 miles per hour
B: 45x3=135
B=135

User Bubuxu
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2 votes

Answer: A. 45 miles per hour

B. 135 miles


Explanation:

Given: The distance traveled by a car at a constant rate is proportional to the time spent driving.

In the equation
d=45t, d represents the distance (in miles) and t represents the time (in hours).


\Rightarrow(d)/(t)=45\text{ miles per hour}

⇒ The constant of proportionality=45 miles per hour.

Also, the distance traveled by car in 1 hour=45 miles

⇒ The distance traveled by car in 3 hours=
3*45=135\text{ miles}

∴ A car will travel 135 hours in 3 hours.

User Mluerig
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