Understanding Relationships in Equations

This lesson covers the concept of related quantities, focusing on unit price comparisons, mixing paint ratios, and understanding independent and dependent variables in equations. Students learn to calculate unit prices, mix paints in specific ratios, and graph relationships between variables. The lesson emphasizes the importance of equations in describing equivalent ratios and solving problems.

What is the unit price per pound for the 5 lb jug of honey priced at $15.35?

• $2.90

• $3.07

• $4.00

• $3.70

If you need to mix paint in the ratio of 3 parts yellow to 2 parts red, how many parts of yellow will you need if you use 6 parts of red?

• 9 parts

• 12 parts

• 15 parts

• 18 parts

In the equation r = 2/5 t, which variable is dependent?

• t

• Neither

• r

• Both r and t

How do you determine the independent variable in an equation?

• It's the variable that changes based on the other variable.

• It's the variable that remains constant.

• It's the variable that is multiplied by the constant.

• It's the variable that is divided by the constant.

What is the slope of the line if the relationship between red and yellow paint is y = 3/2 r?

• 1/2

• 2

• 3/2

• 2/3

If a graph shows that 8 batches of brownies require 4 cups of sugar, what is the equation relating sugar (s) to batches (x)?

• s = x + 4

• s = 0.5x

• s = 2x

• s = 4x

How many calories are in 3 servings of a fruit snack if each serving contains 90 calories?

• 270 calories

• 90 calories

• 360 calories

• 180 calories

If a book is originally priced at $100 and is on a 20% discount, what is the sale price?

• $100

• $120

• $20

• $80

What is the equation to find the number of servings (n) if you know the total calories (C) and each serving has 90 calories?

• n = C + 90

• n = C * 90

• n = 90/C

• n = C/90

If the sales price is 80% of the original price, what is the equation relating sales price (S) to original price (P)?

• S = 0.8P

• S = P/0.8

• S = P + 0.8

• S = P - 0.8