Question

Can someone please help me with this question it's due soon
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Answer 1

The slope of the graph of machine 1 is: 1/2

The slope of the graph of machine 2 is: 4/5

Explanation:

Machine 1

Machine 1 Table is given by

Time (sec) 1 2 3 4

Amount (gal) 0.5 1 1.5 2

Taking two points

• (1, 0.5)

• (2, 1)

Determining the slope between any two points (1, 0.5) and (2, 1)

`\left(x_1,\:y_1\right)=\left(1,\:0.5\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)`

`m=(1-0.5)/(2-1)`

`m=0.5`

`m = 1/2`

Therefore, the slope of the graph of machine 1 is: 1/2

Machine 2

Taking two points from the graph of Machine 2

• (0, 0)

• (10, 8)

Determining the between any two points (0, 0) and (10, 8)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:8\right)`

`m=(8-0)/(10-0)`

`m=(4)/(5)`

Therefore, the slope of the graph of machine 2 is: 4/5