My kids bathtub is being drained Since it is an ordinary tub

My kids’ bathtub is being drained. Since it is an ordinary tub, it can be modeled by the function

V(t) = -15t + 45 where V(t) is the volume of the tub in gallons and t is the time that has passed in minutes.

Identify the horizontal intercept of the function V(t) = -15t + 45. Clearly interpret the

horizontal intercept in the context of the problem. Use complete sentences in your answer.v

For horizontal intercept, we have to substitute V(t)=0 in the given equation.

-15t + 45 =0

Subtract 45 from both sides,

-15t = -45

Divide both sides by -15,

t = -45/-15 = 3

So horizontal intercept is (t, V(t)) = (3, 0).

It means, the volume of the tub in 3 min is 0 gallons.

It means, the tub gets empty with in 3 min.