Question

If I have a table that says:

Time: 5, 10, 15, and 20
Length: 7.5, 15, 22.5, and 30

Is this proportional or nonproportional?
a) Proportional
b) Nonproportional
c) Not enough information to determine
d) Proportional only at specific time points

Answer 1

The table shows a constant ratio of Length to Time, which is 1.5 in each case. This consistent ratio indicates that the relationship is proportional.

Step-by-step explanation:

The provided table shows a relationship between Time and Length. To determine if this relationship is proportional, you can look for a constant rate of change. For a proportional relationship, the ratio of Length to Time should be consistent throughout the table. Calculating for each pair:

• For 5 minutes, the length is 7.5. The ratio is 7.5/5 = 1.5.
• For 10 minutes, the length is 15. The ratio is 15/10 = 1.5.
• For 15 minutes, the length is 22.5. The ratio is 22.5/15 = 1.5.
• For 20 minutes, the length is 30. The ratio is 30/20 = 1.5.

Since the ratio is consistently 1.5, the relationship is indeed proportional. Therefore, the correct answer to whether the relationship is proportional or nonproportional is a) Proportional.