10.2k views
0 votes
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?

User Armbrat
by
7.4k points

2 Answers

2 votes

Answer:

B. The water level increases by 2 inches each hour

Explanation:

I just did this on edge

User Armel
by
8.4k points
4 votes

Answer:

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

User Jourmand
by
7.3k points