Enrico is filling his pool. The pool has 3000 gallons of water in it. The water hose that enrico uses puts 500 gallons per hour into the pool. Write an equation for the number of gallons y water in the pool after x hours. Identify the slope and the y intercept

Step-by-step explanation:

Let x represent the number of hours for which the hose puts water into the pool.

Let y represent the number of gallons of water in the pool after x hours.

The pool has 3000 gallons of water in it. The water hose that enrico uses puts 500 gallons per hour into the pool. This means that the volume of water in the pool after x hours is

y = 500x + 3000

Comparing with the slope intercept form which is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

Therefore, the slope is 500 and the y intercept is 3000

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6