Question

Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. What is the initial value of the linear function that represents this situation?

Answer 1

Well gallons as a function of time is:

g(t)=45-15t

So the initial value is 45 gallons, hence why it is the y-intercept, or constant, in the linear equation above.

Answer 2

45-gallons

Explanation:

Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute.

Draining the gallons. So, rate should be negative because it reduce the amount of number of gallons.

Rate = 15 gallons per minute

Initial value = 45 gallons

Let t number of minutes aquarium left gallons.

`f(t)=-15t+45`

This is linear function of given situation.

where, initial value is 45 and rate is 15

Hence, The initial value of the given situation is 45-gallons