Harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. after 10 seconds, the total weight is 50 ounces. what is an equation of the line parallel to the line on the graph that passes through (2,25)?

Option C.

Step-by-step explanation:

If a line passes through two points and , then the rate of change is

From the given graph it is clear that the line passes through the points (0,20) and (10,50). So, the slope of the lien is

The slope of two parallel lines are same. So, the slope of parallel line is 3.

The point slope form of a line is

The slope of parallel line is 3 and it passes through the point (4,15). So, the equation of parallel line is

Using distributive property

Add 15 on both sides.

The required equation is y=3x+3. Therefore, the correct option is C.

The answer is "".

Step-by-step explanation:

In the given statement the graph is missing. So, the correct solution to this question can be described as follows:

Given

graph point:

Line points:

The Formula of slope:

Assuming  point: (x,y)

Graph point: (2,25)

M= 4

Equation:

y = 4x +17

Step-by-step explanation:

we can find the equation of line when given two points or a point and the gradient/slope.

In the above line we have two points (0,10) and (10,50),

The slope of the line is therefore 4

 Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence

Equation will be, (y-25)/(x-2) = 4

                          = y-25 = 4x-8

                          = y =4x +17

Thus the appropriate equation is y = 4x +17