To solve this problem, we can use the slope-intercept form of the equation of a line, which is y = mx + b, where m is the slope and b is the y-intercept.
From the given information, we can determine that the slope of the line is 2 gallons per minute. This means that for every minute that passes, the water level in the pool increases by 2 gallons.
To find how long it will take to fill the pool, we need to find the value of x when y (the water level) is 24 gallons.
Using the slope-intercept form of the equation, we have:
24 = 2x + b
To determine the value of b, we can substitute the coordinates (0, 0) into the equation:
0 = 2(0) + b
b = 0
So, the equation becomes:
24 = 2x
Solving for x, we have:
2x = 24
x = 24/2
x = 12
Therefore, the x-value of the point (x, 24) is 12.
The correct answer is B) 12.
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)? Responses A 6 B 12C 23D 25
1 answer
1 answer