The distance traveled (in meters) by a frog is modeled by the equation d = 0.2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes.
A. 50 meters
B. 125 meters
C. none of these
D. 5 meters
Answer (2)
The frog travels 5 meters in 25 minutes based on the equation d = 0.2 t . The correct answer from the options provided is D, 5 meters.
;
The problem provides the equation d = 0.2 t to model the distance traveled by a frog. To find the distance traveled in 25 minutes:
Substitute t = 25 into the equation: d = 0.2 × 25 .
Calculate the distance: d = 5 meters.
The distance traveled in 25 minutes is 5 meters.
Explanation
Understanding the Problem We are given the equation d = 0.2 t , which models the distance d traveled by a frog in meters, where t is the time in minutes. We need to find the distance traveled in 25 minutes.
Substituting the Value of t To find the distance traveled in 25 minutes, we substitute t = 25 into the equation d = 0.2 t . This gives us: d = 0.2 × 25
Calculating the Distance Now, we calculate the value of d :
d = 0.2 × 25 = 5 Therefore, the distance traveled in 25 minutes is 5 meters.
Comparing with Options Comparing our calculated distance with the given options, we find that option D matches our result.
Examples
Understanding how distance relates to time is crucial in many real-world scenarios. For example, if you're planning a road trip, knowing your average speed (distance per unit of time) helps you estimate how long it will take to reach your destination. Similarly, in sports, athletes often analyze their speed and distance covered to optimize their performance. This concept is also fundamental in physics for understanding motion and velocity.
