Question

A machine can fill 24 jars of honey in 30 seconds create an equation that represents filling y jars of honey in c seconds move the correct answer to each box not all answers will be used

Answer 1

The equation that represents filling y jars of honey in c seconds is b. y = 0.8c

A machine can fill 24 jars of honey in 30 seconds. We can represent this information as a proportion:

`(24 jars)/(30 seconds)`

Let y represent the number of jars of honey to be filled in c seconds. We can set up a proportion to represent this relationship:

`(y jars)/(c seconds)`

Since the rate of filling honey remains constant, these two proportions are equivalent. This means we can set them equal to each other:

`(24 jars)/(30 seconds) = (y jars)/(c seconds)`

Now, we can solve for y. To do this, we can cross-multiply:

24 jars * c seconds = y jars * 30 seconds

Dividing both sides by 30 seconds, we get:

`y = (24 jars * c seconds)/(30 seconds)`

Simplifying the fraction, we get the final equation:

`y = 0.4 \cdot (24)/(30)c`

Therefore, the equation that represents filling y jars of honey in c seconds is:

y = 0.8c