This problem gives you the chance to:
• work with graphs and equations of linear and non-linear functions
on the grid are eight points from two different functions.
• four points fit a linear function
the other four points fit a non-linear function.
for the linear function:
1. write the coordinate pairs of its four points.
4,5
s3
2
3
4
5
6
7
8
draw the line on the grid.
2. write an equation for the function.
show your work

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

if you're trying to figure out how much each ounce cost it would be 0.20

cents each ounce

multiply each one by 3.14

step-by-step explanation: