Question
John is driving around town. When he reaches the gas station, he notes that he has traveled 18 miles. He reaches home 2 hours later and notes that he has traveled 32 miles.
If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation
If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation
Answers
Answered by
GPT 3.5
Let's assume that John traveled x miles after reaching the gas station.
The equation that can be used to model this situation is:
32 = 18 + x
Explanation:
John traveled 18 miles from the gas station, and then he traveled x miles more. Thus, the total distance he traveled from the gas station is 18 + x miles.
Since he reaches home 2 hours later, the time he traveled after the gas station is 2 hours. Therefore, the equation becomes:
32 = 18 + 2t
Explanation:
t represents the time in hours that John has traveled since the gas station. Since he reaches home 2 hours later, the time he traveled after the gas station is 2 hours.
Thus, the correct equation is:
32 = 18 + 2t
The equation that can be used to model this situation is:
32 = 18 + x
Explanation:
John traveled 18 miles from the gas station, and then he traveled x miles more. Thus, the total distance he traveled from the gas station is 18 + x miles.
Since he reaches home 2 hours later, the time he traveled after the gas station is 2 hours. Therefore, the equation becomes:
32 = 18 + 2t
Explanation:
t represents the time in hours that John has traveled since the gas station. Since he reaches home 2 hours later, the time he traveled after the gas station is 2 hours.
Thus, the correct equation is:
32 = 18 + 2t