Question

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

Answer 1

Answer:

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

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

Step-by-step 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)

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

$m=\frac{1-0.5}{2-1}$

$m=0.5$

$m = 1/2$

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)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{8-0}{10-0}$

$m=\frac{4}{5}$

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