3.) find the x- and y-intercept of the line.

x + 4y = 36

x-intercept is 9; y-intercept is 36.

x-intercept is 4 ; y-intercept is 1.

x-intercept is 1; y-intercept is 4.

x-intercept is 36; y-intercept is 9.

Option D

x-intercept is 36 and y-intercept is 9

Solution:

Given equation is:

x + 4y = 36

To find: x and y intercept

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'

Substitute y = 0 in given equation

x + 4(0) = 36

x + 0 = 36

x = 36

To find the y-intercept, plug 0 in for 'x' and solve for y

Substitute x = 0 in given equation

0 + 4y = 36

4y = 36

y = 9

Thus x-intercept is 36 and y-intercept is 9

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.