Table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided. input1234n
output10131619

y = 3n + 7

Step-by-step explanation:

We can calculate a slope for the line defined by these points.  (We are told it is linear, so we can use y = mx + b format, where m is the slope and b the y-intercept.)

Slope:  I'll pick points (1,10) and (4,19) for calculating the slope:

Rise = (19-10) = 9

Run = (4-1) = 3

Rise/Run, or slope, m = (9/3, or 3

The equation becomes y = 3x + b

We can calculate b by using one of the given points.  I'll pick (1,10):

y = 3x + b

10 = 3*(1) + b

b = 7

The equation is y = 3x + 7  It works for the other points (try it).

We can use n for x:

y = 3n + 7

Pick any n, and you'll have the correct outcome.

y = 3n + 7

n | y

1  | 10

2 | 13

3 | 16

4 | 19

slope - (1, 10) ; (2, 13)

m = y1 - y2

      n1 - n2

m =  10 - 13

       1  -  2

m = 3

Slope Intercept Form Equation -

y - y1 = m(n - x1)

y - 10 = 3(n - 1)

y - 10 = 3n - 3

   y  = 3n - 7

good luck!

cutie~

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.