Module 4 Study Guide

Vocabulary Match!

Match the term on the left with the definition on the left!

  1. Unit Rate
  2. Complex fraction
  3. Proportional relationship
  4. Constant of proportionality
  1. The price of apples at a farm is $1.76 per pound. Write equation to determine c, the total price of n pounds of apples?
  1. Draw a graph that shows a proportional relationship between the number of hours you rented a car for and the total amount spent to rent car?

Hours 1 2 3 4 5 6 7 8 9 10

  1. The regular price of a necklace is $36.95. During a sale, the watch was marked 15% off. What was the price of the necklace during the sale?
  1. A relationship where the ratio between any two quantities is always the same.
  2. A ratio with a denominator of 1; the word unit means 1; the word "per" means for one unit; examples: miles per gallon, days per year.
  3. Unit rate; in the equation y = kx, k represents the constant of proportionality.
  4. A ratio with a denominator of 1; the word unit means 1; the word "per" means for one unit; examples: miles per gallon, days per year.
  1. What does the point (1994, 400) on the graph represent?
  1. If 3/4 of a ton of sand covers 2/5 of a playground, how many tons of sand are required to cover the entire playground?

Number of Packs
of dog food / Number of Ounces
of dog food
4 / 96
5 / 120
6 / 144
  1. The table below shows the proportional relationship between the weight of dog food, in ounces, and the number of packs of dog food:

What is the constant of proportionality?

Number of
Ice Cream Cones / Price
(in dollars)
2 / 11
4 / 20
6 / 32
8 / 43
  1. The table shows the price for different numbers of ice cream cones:

Does this table of numbers represent a proportional relationship?

  1. If a hose waters 5/7 of a lawn in 2 hour, how much time will it take to water the entire lawn?
  1. Which unit rate is the lowest price per ounce?

Choice A: 6 ounces of chocolate for $3.98

Choice B: 13 ounces of Chocolate for $8.18

  1. The graph below shows the price of different numbers of cans of beads at a store:

Price in dollars

# of cans

Which equation can be used to determine p, the cost of b cans of beads?

  1. Emily measured the height of a dresser as 4.27 feet, but the actual height was 4 feet. What is the percentage of error in Emily’s measurement?
  1. A proportional relationship between the number of pounds of tomatoes (x) and the price in dollars (y) is graphed, and the ordered pair (6,3) is on the graphed line.
    What is the price of 1 pound of potatoes? Show your work, including the proportion you used to determine the price.

What does the ordered pair (10, 5) on the graph represent?

  1. Fran’s Furniture Company charges $0.75 per pound to ship furniture.
    Write an equation to determine the total cost, c, to ship p pounds of furniture. Use your equation to determine the cost of shipping a 223 pound dresser.

If the company reduces the cost to ship furniture by 0.10 per pound, write an equation to determine the total cost, c, to ship p pounds of furniture with the reduced cost.

  1. Amy and her team had to fill a 400 pound barrel with water. They realized the each bucket filled 1/16 of the barrel. Each bucket held 4 gallons. Write and solve an equation to find the amount of water that will fill the entire barrel. Show your work. Explain your answer in words.
  1. The price of a pair of shoes is $59.99 before tax. Dan bought the shoes for 35% off. He then paid 6% sales tax on the discounted price.
    How much did Dan pay in sales tax? Show all work and steps in your solution.

What is the total amount that Dan paid for the shoes? Show all work and steps in your solution.