A test car went 64 miles on 2 gallon in the morning 16 miles on 1/2 gallon at noon and 32 miles on 1 gallon at 5pm is the relationship a proportional relationship Hint #1: x=gallons, y=distance Hint #2: Complete the chart in the same order as the problem

Yes it's proportional

Step-by-step explanation:

If x = gallons and y = distance;

Thus;

64 miles on 2 gallons means: y = 64 and x = 2

Now, the constant of proportionality is usually given as; k = y/k

Thus; k1 = 64/2 = 32

For 16 miles on 1/2 gallon: y = 16 and x = 1/2

Thus;

k2 = 16/½

k2 = 32

For 32 miles on 1 gallon; y = 32 and x = 1

Thus;

k3 = 32/1

k3 = 32

We can see that the constant of proportionality in each of the 3 instances is the same. Thus; it means that the relationship is proportional.