Question

Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed below.

Dripping Water
A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6).

Which describes the pattern of the data in the graph?

Answer 1

Answer:

The value of y is two times the value of x

$y=2x$

Step-by-step explanation:

Let

y ----> the height in inches

x ----> the time in hours

we have the ordered pairs

(1, 2), (2, 4), and (3, 6).

step 1

Find the slope

take two points to calculate the slope

(2, 4), and (3, 6)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{6-4}{3-2}$

$m=\frac{2}{1}$

$m=2\ \frac{in}{h}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=2$

$point\ (2,4)$

substitute

$y-4=2(x-2)$

Convert to slope intercept form

isolate the variable y

$y=2x-4+4\\y=2x$

Is a proportional relationship between the variable x and the variable y

therefore

The value of y is two times the value of x

Answer 2

Answer:

B. The water level increases by 2 inches each hour

Step-by-step explanation:

I just did this on edge