Question

A corn silo contains 8,250 cubic feet of

corn before it is loaded into a storage
container. The corn is loaded from the
silo into the container at the rate of 18
cubic feet per minute.
Which equation can be used to find the
volume, V, of the corn in the silo thours
after loading begins?

Answer 1

`V=1,080t`

Explanation:

Remember that

`1\ h=60\ min`

so

`1\ min=(1/60)\ h`

we know that

The rate is
`18(ft^3)/(min)`

Convert to ft³/h

`18(ft^3)/(min)=18(1)/((1/60))=18(60)=1,080(ft^3)/(h)`

The equation that can be used to find the Volume V of the corn in the silo hours after loading begin represent a proportional relationship

`V=kt`

where

V is the volume of the corn in the silo

t is the time in hours

k is the constant of proportionality or rate

we have

`k=1,080(ft^3)/(h)`

therefore

`V=1,080t`