Question

I need the answer to this ASAP!: Michael knows that 2 cans of paint is the exact amount he needs to paint a 10-foot by 12-foot wall. Graph the relationship between the total square feet of the walls and the number of paint cans necessary to paint them. Show your work or explain how you got your graph in part A.​

Answer 1

See attachment for graph

Explanation:

Given

`2 cans = 10ft\ by\ 12ft`

Required

Graph the relationship between both parameters

First, calculate the area;

`Area = 10ft * 12ft`

`Area = 120ft^2`

This implies that: (2, 120) i.e. 2 cans for 120ft^2.

So we have:

(0,0) and (2,120)

(0,0) implies that: 0 cans for 0 square feet

Calculate the slope:

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

`m = (120 - 0)/(2-0)`

`m = (120 )/(2)`

`m = 60`

The equation is:

`y = m(x - x_1) + y_1`

So, we have:

`y = 60 * (x - 0) + 0`

`y = 60 * (x )`

`y = 60 x`

See attachment for graph