Every year, Calaveras County holds a frog jumping contest. Mia entered her frog into the 100-yard contest and it completed the race in 2 minutes 33 seconds. Larisa entered her frog into the 350-yard contest and it completed the race in 5 minutes 18 seconds.
Based on the situation above, select all true responses.
Based on actual rates during their respective races, Mia’s frog completed the race at a faster rate than Larisa’s frog.
Based on actual rates during their respective races, Mia’s frog completed the race at a slower rate than Larisa’s frog.
Based on actual rates during their respective races, Mia’s frog completed the race at the same rate as Larisa’s frog.
Using Mia’s distance and time, the relationship r = (100)(2.55) can be used to determine her frog's rate.
Using Larisa's distance and time, the relationship 350 ÷ 5.3 = r can be used to determine her frog's rate.
The proportional relationship d = rt can be used to determine the speed at which Mia’s frog and Larisa’s frog completed the race.
Based on the information given:
- The first statement is true. Mia's frog completed the race in 2 minutes 33 seconds, while Larisa's frog completed the race in 5 minutes 18 seconds. Therefore, Mia's frog completed the race at a faster rate.
- The second statement is false. Mia's frog completed the race at a faster rate than Larisa's frog.
- The third statement is false. Mia's frog completed the race at a faster rate than Larisa's frog.
- The fourth statement is false. Mia's distance and time can be used to determine her frog's rate, but the given relationship should be r=(100)/(2.55) to divide the distance by the time correctly.
- The fifth statement is false. Larisa's distance and time can be used to determine her frog's rate, but the given relationship should be r=(350)/(5.3) to divide the distance by the time correctly.
- The sixth statement is true. The proportional relationship d = rt can be used to determine the speed at which Mia's frog and Larisa's frog completed the race, where r represents their rates.