The formula [tex]$d=r t$[/tex] means that the distance traveled is equal to the rate (speed) times the time.
Solve [tex]$d=r t$[/tex] for r:
A. [tex]$r=\frac{t}{d}$[/tex]
B. [tex]$r=d t$[/tex]
C. [tex]$r=\frac{d}{t}$[/tex]
D. [tex]$r=d-t$[/tex]
Answer (1)
Start with the formula d = r t .
Divide both sides by t to isolate r : t d = t r t .
Simplify to find r = t d .
The solution is r = t d .
Explanation
Understanding the Problem We are given the formula d = r t , which relates distance ( d ), rate ( r ), and time ( t ). Our goal is to isolate r on one side of the equation to solve for it.
Isolating r To isolate r , we need to divide both sides of the equation by t . This gives us: t d = t r t
Final Solution Simplifying the right side of the equation, we have: t d = r Thus, r = t d .
Examples
Imagine you are driving a car. If you know the distance you traveled and the time it took you to travel that distance, you can use the formula r = t d to calculate your average speed (rate). For example, if you drove 150 miles in 3 hours, your average speed was 3 hours 150 miles = 50 miles per hour . This concept is useful in everyday situations like planning trips or understanding the speed of moving objects.
