Q:

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.