Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. harvey runs at a constant rate. find his average speed in kilometers per hour.

12 2/3  km  per hour

Step-by-step explanation:

What is Harveys speed?

Take the distance and divide by the time

3 1/6 km

1/4 hour

Change the mixed number to an improper fraction

3 1/6 = (6*3+1)/6 = 19/6

19/6 km

1/4 hour

Copy dot flip

19/6 * 4/1 = 76/6 = 38/3  km/hr

3 goes into 38 12 times  (12*3 = 36)  with 2 left over

12 2/3  km  per hour

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.