harrison pours sand into a bucket at a constant rate

a. y=3x+19

b. y=4x+17

c. y=4x-17

d. y=2x+21

The equation of the line parallel to the line on the graph that passes through (2,25) is

B.

Step-by-step explanation:

1. First find the equation of the line.

The equation of the line is represented by the equation , where m is the slope and b is the intercept with y axis.

Find the slope in order tu find the equation of the line.

The slope is given by the equation where the points , , and are a pair of data from the graph.

The problem says that after 10 seconds the total weight is 50 ounces, so this is the first pair of data (10,50) and the second pair is the incercept with y axis (0,10), so the slope can be calculated as:

Finally b is the value of the intercept of the line with y axis, that is 10.

Therefore the line equation will be

2. Find the equation of the parallel line:

The parallel line must be the same slope that is

And as the parallel line to the line on the graph passes through (2,25) it means that the values of x and y for the parallel line are:

x=2

y=25

So,

Solving for y:

Therefore the equation of the line parallel to the line on the graph that passes through (2,25) is

check the picture below.

y=mx+b

step-by-step explanation:

m slope, b y-intercept