Using the given points (0,0) and (1,2), we can find the slope of the line passing through these two points.
The slope is calculated as the change in y divided by the change in x.
change in y = 2 - 0 = 2
change in x = 1 - 0 = 1
slope = change in y / change in x = 2 / 1 = 2
We can now use the slope-intercept form of a linear equation y = mx + b, where y is the y-value, x is the x-value, m is the slope, and b is the y-intercept.
Substituting the values (x, 24) and (2, 24) into the equation:
24 = 2x + b
To find the value of b, we can substitute the coordinates (0,0) into the equation:
0 = 0 + b
Therefore, the value of b is 0.
The equation of the line is y = 2x.
To find x when y = 24:
24 = 2x
Solving for x:
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 66 B 1212 C 2323 D 25
1 answer