Question

Use the terms from the list below to complete the sentences.

Each term will be used once.
constant of proportionality
proportional relationship
+
ratio
table
equivalent ratios
equation
It takes a machine 10 seconds to fill 4 bottles of juice. It takes 15 seconds
to fill 6 bottles of juice. Does this describe a proportional relationship?
1. Make a(n)
to organize the data.
Time (t)
10.
15
Number of
Bottles (b)
4
6

Answer 1

1. Make a table to organize the data:

(The table is in the image that is provided, if you cannot see it; I've written it down below)

Time (t): 10, 15

Number of bottles (b): 4, 6

The table shows the time it takes the machine to fill a certain number of bottles of juice. To determine if the relationship is proportional, we can look at the ratios of time to number of bottles for the different data points.

If the ratios are the same for all data points, then the relationship is proportional. In this case, we have:

Ratio for the first data point: 10/4 = 2.5

Ratio for the second data point: 15/6 = 2.5

Since the ratios are the same, we can conclude that the relationship is proportional.

The terms used in this context are: proportional relationship, table, ratio, and equivalent ratios.

So the answer is yes, the relationship between the time it takes the machine to fill a certain number of bottles of juice and the number of bottles filled is a proportional relationship.

Hopefully this helped, If not I'm sorry! If you need more help, ask me! :]