Question

If the bathtub holds a total of 46.2 gallons, how many minutes would it take to fill the entire tub? Write an equation in one variable to help you

solve the problem. The variable represents the unknown time in minutes.

BI y Xx Font Sizes - AA EI E

N

Answer 1

It will take 2.8 minutes

Explanation:

Given

`x \to Minutes`

`y \to Gallons`

See attachment for complete question

Required

Time to fill the tube with 46.2 gallons

The attached table is a represents a direct proportional relationship between x and y.

This relationship is:

`y = kx`

Where k is the constant of proportionality.

When (x,y) = (1,16.5), we have:

`16.5 = k*1`

`16.5 = k`

`k=16.5`

So, we have:

`y = kx`

`y = 16.5x`

To calculate the required time to fill 46.2 gallons, we make x the subject

`x = (y)/(16.5)`

Where

`y =46.2`

`x = (46.2)/(16.5)`

`x = 2.8`