3. A rabbit and turtle are in a race. Is the relationship between distancetraveled and time proportional for either one? If so, write an equation thatrepresents the relationship.Turtle's Run:1Distance (meters)108 Comp405 0.145540 161,768.5Time (minutes)27.5Rabbit's Run:Distance (meters) Time (minutes)800 900900 0.bas1,107.501,524 ,211 32.5102032.75
Accepted Solution
A:
Answer:The relationship is proportional for the turtle and the equation is Distance = 54*TimeStep-by-step explanation:Turtle’s run:
Distance (meters) | Time (minutes)
108 | 2 405 | 7.5
540 | 10
1768.5 | 32.75
Rabbitt’s run:
Distance (meters) | Time (minutes)
800 | 1 900 | 5
1107.5 | 20
1524 | 32.5
The relationship between distance traveled and time is proportional if this equation is satisfied: Distance = k*Time or k = Distance/Time
where k is a constant
For the turtle:
108/2 = 405/7.5 = 540/10 = 1768.5/32.75 = 54
Then, the relationship is proportional and the equation is Distance = 54*TimeFor the rabbit:800/ 1 = 800 900/5 = 180
1107.5/20 = 55.3751524/32.5 = 46.89Then, the relationship is not proportional.