Answer:
[tex]V=1,080t[/tex]
Step-by-step explanation:
Remember that
[tex]1\ h=60\ min[/tex]
so
[tex]1\ min=(1/60)\ h[/tex]
we know that
The rate is [tex]18\frac{ft^3}{min}[/tex]
Convert to ft³/h
[tex]18\frac{ft^3}{min}=18\frac{1}{(1/60)}=18(60)=1,080\frac{ft^3}{h}[/tex]
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
[tex]V=kt[/tex]
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
[tex]k=1,080\frac{ft^3}{h}[/tex]
therefore
[tex]V=1,080t[/tex]
