Question

The function h(t) = negative 8 * t plus 1000 models the number of gallons of water remaining in a 1,000 - gallons tank after water has been draining for t hours.What is the y- intercept? What does it represent in this problem?

Answer 1

Given the function :

`h(t)=-8t+1000`

Where : h is the number of gallons and t is the number of hours

y - intercept is the value of h when t = 0

So, when t = 0

`h(0)=-8\cdot0+1000=1000`

So, y - intercept = 1000

And it represents the number of gallons at the beginning , which mean the tank is full with its 1000 gallons