We can use the formula for the slope of a line to find the x-value of the point (x, 24).
The slope of a line is equal to rise over run. In this case, the rise is the change in y-values (from 0 to 24), and the run is the change in x-values (from 0 to x).
The slope of the line passing through the points (0,0) and (1,2) is (2-0)/(1-0) = 2/1 = 2.
Since the line passes through the point (0,0), we can use the point-slope form of a line to find the equation:
y - 0 = 2(x - 0)
Simplifying, we get:
y = 2x
To find the x-value of the point (x, 24), we can substitute y = 24 into the equation:
24 = 2x
Solving for x, we get:
x = 24/2 = 12
So the x-value of the point (x, 24) is 12.
Therefore, 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