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

Answer:

(12,24)

Step-by-step 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

$y=2x\\24=2x\\x=\frac{24}{2}\\ x=12$

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