Answer:
They do form a proportion.
Explanation:
To determine whether the two rates form a proportion, you can set up a proportion and check if the cross-products are equal.
The two rates you have are:
Rate 1: 7 inches in 9 hours
Rate 2: 42 inches in 54 hours
You can set up a proportion like this:
Rate 1 (inches per hour) / Rate 2 (inches per hour) = Time 1 (hours) / Time 2 (hours)
So, it becomes:
(7 inches / 9 hours) / (42 inches / 54 hours)
Now, let's calculate these fractions:
Rate 1 (inches pr hour) = (7 inches / 9 hours) ≈ 0.7778 inches per hour (rounded to 4 decimal places)
Rate 2 (inches per hour) = (42 inches / 54 hours) ≈ 0.7778 inches per hour (rounded to 4 decimal places)
Now, compare the two rates (rounded to 4 decimal places):
Rate 1 ≈ 0.7778 inches per hour
Rate 2 ≈ 0.7778 inches per hour
Since both rates are approximately equal to 0.7778 inches per hour, they do form a proportion. When two rates are in proportion, their ratios are equal, which is the case here.