The equation that represents the approximate distance Aaron's dog sled team travels over time is y = 5.42x.
The equation that represents the approximate distance Dallas' dog sled team travels over time is y = 5.48x.
The equation that represents the approximate distance Mitch's dog sled team travels over time is y = 5.42x.
Every year, a dog sled race is held in Alaska and is approximately 1,150 miles in distance. Information about the top three racers is listed below.
Aaron completed half the race in approximately 4 days, 12 hours.
Dallas finished the race in approximately 8 days, 18 hours.
Mitch completed one-quarter of the race in approximately 2 days, 5 hours.
Based on the statements above, select all true responses where x is hours and y is miles. Assume each racer maintains the same pace throughout the race.
The equation that represents the approximate distance Aaron's dog sled team travels over time is y = 5.42x.
The equation that represents the approximate distance Aaron's dog sled team travels over time is y = 5.32x.
The equation that represents the approximate distance Dallas' dog sled team travels over time is y = 5.48x.
The equation that represents the approximate distance Mitch's dog sled team travels over time is y = 5.42x.
The equation that represents the approximate distance Mitch's dog sled team travels over time is y = 5.48x.
The equation that represents the approximate distance Dallas' dog sled team travels over time is y = 5.32x.
3 answers
explain
To determine whether each equation is true, we need to compare the given information about each racer's time and distance to the equation.
For Aaron, it is stated that he completed half the race in approximately 4 days, 12 hours. This means that in 4 days, 12 hours (or 108 hours), he traveled half the distance of the race, which is 575 miles (half of 1150). Dividing the distance by the time gives us a rate of approximately 5.32 miles per hour.
Therefore, the equation that represents the approximate distance Aaron's dog sled team travels over time is y = 5.32x. This is not the same as y = 5.42x, so the statement "The equation that represents the approximate distance Aaron's dog sled team travels over time is y = 5.42x" is false.
Similarly, for Dallas, it is stated that he finished the race in approximately 8 days, 18 hours. This means he covered 1150 miles in 8 days, 18 hours (or 210 hours). Dividing the distance by the time gives us a rate of approximately 5.48 miles per hour.
Therefore, the equation that represents the approximate distance Dallas' dog sled team travels over time is y = 5.48x, which matches the given equation. So, the statement "The equation that represents the approximate distance Dallas' dog sled team travels over time is y = 5.48x" is true.
For Mitch, it is stated that he completed one-quarter of the race in approximately 2 days, 5 hours. This means he covered one-quarter of the distance, which is 287.5 miles (one-quarter of 1150), in 2 days, 5 hours (or 53 hours). Dividing the distance by the time gives us a rate of approximately 5.42 miles per hour.
Therefore, the equation that represents the approximate distance Mitch's dog sled team travels over time is y = 5.42x, which matches the given equation. So, the statement "The equation that represents the approximate distance Mitch's dog sled team travels over time is y = 5.42x" is true.
Therefore, the correct statements are:
- The equation that represents the approximate distance Dallas' dog sled team travels over time is y = 5.48x.
- The equation that represents the approximate distance Mitch's dog sled team travels over time is y = 5.42x.
For Aaron, it is stated that he completed half the race in approximately 4 days, 12 hours. This means that in 4 days, 12 hours (or 108 hours), he traveled half the distance of the race, which is 575 miles (half of 1150). Dividing the distance by the time gives us a rate of approximately 5.32 miles per hour.
Therefore, the equation that represents the approximate distance Aaron's dog sled team travels over time is y = 5.32x. This is not the same as y = 5.42x, so the statement "The equation that represents the approximate distance Aaron's dog sled team travels over time is y = 5.42x" is false.
Similarly, for Dallas, it is stated that he finished the race in approximately 8 days, 18 hours. This means he covered 1150 miles in 8 days, 18 hours (or 210 hours). Dividing the distance by the time gives us a rate of approximately 5.48 miles per hour.
Therefore, the equation that represents the approximate distance Dallas' dog sled team travels over time is y = 5.48x, which matches the given equation. So, the statement "The equation that represents the approximate distance Dallas' dog sled team travels over time is y = 5.48x" is true.
For Mitch, it is stated that he completed one-quarter of the race in approximately 2 days, 5 hours. This means he covered one-quarter of the distance, which is 287.5 miles (one-quarter of 1150), in 2 days, 5 hours (or 53 hours). Dividing the distance by the time gives us a rate of approximately 5.42 miles per hour.
Therefore, the equation that represents the approximate distance Mitch's dog sled team travels over time is y = 5.42x, which matches the given equation. So, the statement "The equation that represents the approximate distance Mitch's dog sled team travels over time is y = 5.42x" is true.
Therefore, the correct statements are:
- The equation that represents the approximate distance Dallas' dog sled team travels over time is y = 5.48x.
- The equation that represents the approximate distance Mitch's dog sled team travels over time is y = 5.42x.
5 answers