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

B. The water level increases by 2 inches each hour

Explanation:

I just did this on edge

Answer 2

The value of y is two times the value of x

`y=2x`

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=(y2-y1)/(x2-x1)`

substitute

`m=(6-4)/(3-2)`

`m=(2)/(1)`

`m=2\ (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