# The Busy Bee store bottles fresh jars of honey at a constant rate. In 3 hours, it bottles 36 jars, and in 7 hours, it bottles 84 j

Question

The Busy Bee store bottles fresh jars of honey at a constant rate. In 3 hours, it bottles 36 jars, and in 7 hours, it bottles 84 jars of honey.

Determine the constant of proportionality

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1 month 2022-12-28T16:49:07+00:00 2 Answers 0 views 0

The constant of proportionality is 0.2
Step-by-step explanation:
k= x/y
X is the jars in 3 or 7 hours.
there are 60 minutes in an hour
there are 3 hours so times 60 by 3
you get 180. 36 divided by 180 is 0.2
0.2 x 180 = 36

2. If In 3 hours, it bottles 36 jars, and in 7 hours and 84 jars of honey. For the given conditions the constant of proportionality is 12.

### What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that the Busy Bee store bottles fresh jars of honey at a constant rate. In 3 hours, it bottles 36 jars, and in 7 hours, it bottles 84 jars of honey.
Suppose y is the number of jars and x is the time needed to fill the jar, the relation gives the significance the time needed to fill a jar is,
K = y / x
y = K x
If in 3 hours, it bottles 36 jars,
K = 36 / 3
K = 12
If in 7 hours, it bottles 84 jars of honey,
K = 84 / 7
K = 12
Thus, in 3 hours, it bottles 36 jars, and in 7 hours and 84 jars of honey. For the given conditions the constant of proportionality is 12.