Question

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 parrallel to the line on the graph that passes to the graph that passes through (2, 25)

Answer 1

The answer is "
`\bold{y=4x+17}`".

Explanation:

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

Given

graph point:
`\bold{(2, 25)}`

Line points:
`\bold{(0,10), \ \ and \ \ (10,50)}`

The Formula of slope:

`\boxed{M= (y_2-y_1)/(x_2-x_1)}\\\\\Rightarrow x_1= 0, y_1= 10 \\\\\Rightarrow x_2= 10, y_2=50\\\\\Rightarrow M= (50-10)/(10-0)\\\\\Rightarrow M=(40)/(10)\\\\\Rightarrow M= 4\\`

Assuming point: (x,y)

Graph point: (2,25)

M= 4

Equation:

`\Rightarrow (25-y)/(2-x)=4\\\\\Rightarrow 25-y=4(2-x)\\\\\Rightarrow 25-y=8-4x\\\\\Rightarrow y= 4x-17\\`