Question

Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)?

Answer 1

i believe the x value is 12. so it is 12, 24

Answer 2

(12,24)

Explanation:

Givens

• The pool holds 24 gallons.
• The rate is 2 gallons of water per minute.
• The line that represents the problem passes through points (0,0) and (1,2).

We can deduct the equation that represents this problem using the point-slope formula

`y-y_(1) =m(x-x_(1) )\\y-2=2(x-1)\\y=2x-2+2\\y=2x`

So, for
`y=24`, we have

`y=2x\\24=2x\\x=(24)/(2)\\ x=12`

Therefore, after 12 minutes there were 24 gallons of water in the pool. The right answer is (12,24).