Question

Find and interpret the slope. The number of cubic feet of watery In a reservoir x hours after the water starts flowing into the reservoir Is a linear function. The points (40,2,000) and (60, 3,000) are on the line of the function. The slope ls which means that the amount of water in the reservoir is increasing at a rate of cubic feet each hour.what is the y- intercept? what is the x- intercept?

Answer 1

The slope of a line (m) given two points (x1, y1) and (x2, y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

Replacing with (40,2,000) and (60, 3,000):

`m=(3000-2000)/(60-40)=(1000)/(20)=50`

The slope ls 50 cubic feet/hour which means that the amount of water in the reservoir is increasing at a rate of 50 cubic feet each hour.​

Slope-intercept form of a line:

y = mx + b

where m is the slope and b is the y-intercept. Replacing with m = 50 and point (40, 2000), e get:

200050()40

2000

2000 - 2000 = b

0 = b

Then the y-intercept is point (0, 0) which is also the x-intercept

The equation is:

y = 50x