when you mix two colors of paint and equivalent ratios the resulting color is always the same complete the table as you answer the questions one how many cups of yellow paint should you mix with one cup of blue paint to make the same shade of green explain or show your reasoning number to make up a new pair of numbers that would make the shade of green explain I know they would make the same shade of green

a. 5 cups of yellow is required for 1 cup of blue paint

b. A possible pair is (3,15)

Step-by-step explanation:

Represent blue with B and Yellow with Y

Given (From the Table)

Solving (a): Complete The Table

To complete the table, we are to solve for Y when B = 1

Recall that

when

Express

Substitute 2 for B

So: When B = 1

Hence, 5 cups of yellow is required for 1 cup of blue paint

Solving (b): Make up a new pair

Let

Using

Hence;

A possible pair is (3,15)

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)