Question

Does the data in this table represent a proportional relationship?
time(min)
1.

2.

3.

7.

10.

water used(gal)
5.

10.

15.

35.

50.

Answer 1

To determine if the data in the table represents a proportional relationship, we need to check if the ratios between time and water used are always the same.

Let's calculate the ratios for each pair of values:

Ratio between time 2 and time 1 = 2/1 = 2
Ratio between time 3 and time 2 = 3/2 = 1.5
Ratio between time 7 and time 3 = 7/3 ≈ 2.33
Ratio between time 10 and time 7 = 10/7 ≈ 1.43

Ratio between water used 10 and water used 5 = 10/5 = 2
Ratio between water used 15 and water used 10 = 15/10 = 1.5
Ratio between water used 35 and water used 15 = 35/15 ≈ 2.33
Ratio between water used 50 and water used 35 = 50/35 ≈ 1.43

Since the ratios between time and water used are not consistent (they are not always equal), the data in this table does not represent a proportional relationship.