Kurt drove his car from City A to City B at an average rate of 35 miles per hour. He started at 2 p.m. and drove 20 mile in t hours. Which of the following equations represents this situation?
a. 20 = 35 t
b. 35 = 20 t ***
c. 20 = 35 (t+2)
d. 35 = 20 (t +2)
hard to say, since you give neither the total time nor the total distance, and then ask a very vague question about his "situation." I guess the 2pm is also supposed to be relevant in some way.
To determine the equation that represents the given situation of Kurt's drive from City A to City B, we need to carefully assess the problem statement.
We are given that Kurt drove his car at an average rate of 35 miles per hour. This means that for every hour he drives, he covers a distance of 35 miles.
The problem also states that Kurt drove 20 miles in t hours. This implies that the distance traveled depends on the time taken.
The equation that best represents this situation is b. 35 = 20t.
Let's analyze why this equation is correct:
The left side of the equation, 35, represents the rate at which Kurt drove, which is 35 miles per hour. The right side of the equation, 20t, represents the distance traveled, where t represents the time taken in hours. Multiplying the time by the rate gives us the distance traveled.
For example, if Kurt drove for 1 hour (t = 1), the distance traveled would be 20(1) = 20 miles. Similarly, if he drove for 2 hours (t = 2), the distance traveled would be 20(2) = 40 miles.
Therefore, the equation 35 = 20t accurately represents the given situation in the problem.