Question

A fish aquarium is leaking a a rate of 1 quarter per minute. The aquarium started out with 200 gallons. Write a linear model showing how much water is left in gallons after m minutes

Answer 1

Linear model:
`V=-(1)/(4)m+200`

Explanation:

Let the volume of water left after
`m` minutes be
`V` gallons.

Let the leakage rate be
`R` gallons per minute.

From the question,

Rate of leakage is given as 1 quarter per minute.

1 quarter is
`(1)/(4)` of a gallon. So,

`R=-(1)/(4)` gallons per minute. Negative sign is used since the volume is decreasing per minute.

Now, initial volume is 200 gallons.

So, a linear model will be of the form:

`V=-(1)/(4)m+200`

The above equation represents volume of water left in gallons after
`m` minutes.