Name That Quantity
Ms. Mejia calculates quiz scores by giving students 4 points for every correct answer.
Independent- How many points a student got correct
Dependent- The student's score
Jared is paid $8 more than the number of chores he does each week. The equation a = c + 8 describes the amount Jared is paid, a, after completing a certain number of chores, c. How much is Jared paid if he does 40 chores?
Jared is paid $48 if he does 40 chores.
The old incandescent bulbs in a school hallway burn out at a rate of one per week since the school year began. Each time an old light burns out, it gets replaced with a new energy efficient LED light. At the start of the school year, there were only 7 LED bulbs in the hallway. At the end of 36 weeks of school, how many LED bulbs were in the hallway?
9
19
23
43
The three owners of a construction company divide the total profit they make on the construction of any new home three ways.
Example:
m =t/3
An airplane takes off and climbs at a constant rate. The table shows the altitudes the plane traveled. Determine the airplane’s rate in feet per minute. Write an equation to determine the distance traveled after an amount of time has elapsed. Determine how far the plane will travel after 14 minutes.
Rate: 1200 feet per minute
Equation: d=1200t
One More Point: 16,800 feet at 14 minutes
A rental car company charges customers $40 for each day they rent a car.
Independent- number of days a car is rented
Dependent- Total amount charged
Julia works for a florist. She has been asked to create centerpieces for a retirement dinner. Each centerpiece should contain three roses. The equation r = 3c describes the number of roses, r, in a certain number of centerpieces, c. If Julia has 96 roses, how many centerpieces can she make?
Julia can make 32 centerpieces with 96 roses.
Karl, who has run 1.2 miles each day for months, decides to start training for a marathon. He runs an additional mile each day he trains, slowly building up to the marathon length of 26.2 miles. When does Karl first run the length of a marathon?
5
8.2
15
25
A business subtracts $7.50 from an employee’s weekly pay to cover the cost of their uniforms.
Example:
n = g − 7.50
A bus travels on the highway at a constant speed. The table shows the distances the bus traveled. Determine the bus’s rate in miles per hour. Write an equation to determine the amount of time required to travel a given distance. Determine how many minutes it will take the bus to travel 62 miles.
Rate: 55 miles per hour
Equation: t=d/55
One More Point: Approximately 1.13 hours to drive 62 miles
Mr. Woo adds 10 bonus points to each student’s science test score to determine their final test score.
Independent- the original test score
Dependent- the test score with the bonus added
Theresa is eating pretzels as a snack. Each serving of pretzels contains 0.9 gram of fat. The equation f = 0.9s describes the amount of fat in grams, f, in a number of servings, s. How many servings are in 9 grams of fat?
There are 10 servings of pretzels in 9 grams of fat.
A toilet sends 7 gallons of water down the drain for every flush. The toilet sent 147 gallons of water down the drain. How many flushes was that?
6
9
84
21
Five employees work on the receiving dock at a factory. They divide the number of crates they unload from each truck equally.
Example:
c=t/5
A train took off from the station and travels at constant speed. The table shows the distances the train traveled. Determine the train’s rate in kilometers per hour. Write an equation to determine the amount of time required to travel a given distance. Determine how many hours it will take the train to travel 115 kilometers.
Rate: 325 km per hour
Equation: t=d/325
One More Point: 0.35 hours for 115 km
To determine the total weekly wages of his employees, Mr. Tang multiplies the total number of hours his employees work by $12.
Independent- number of hours worked
Dependent- total weekly wages
Ada needs blue and brown ribbon to use to make a bow for a dress. According to her pattern she needs 8.6 inches of brown ribbon. The equation t = 8.6 + b describes the total amount of ribbon in inches, t, for the amount of blue ribbon used in inches, b. When Ada completes the dress she finds that she has actually used 10.9 inches of blue ribbon. How much ribbon did Ada use altogether?
Ada used 19.5 inches of ribbon altogether if she used 10.9 inches of blue ribbon.
Faith wants to keep her lights on all day, but she doesn’t want to waste energy doing it. So she collects aluminum cans and recycles them to make up for the energy she uses. Each pound of aluminum saves enough energy for Faith to leave her lights on for one day. So far this year, Faith has collected 17.9 pounds of aluminum. If Faith is able to keep her lights on for 30 days, how much additional aluminum did she collect?
39.2
28
18.8
12.1
On a windy January day, a weatherman in Montana subtracts 10 degrees from the actual air temperature (in degrees Fahrenheit) to determine the wind chill temperature.
Example:
w = t – 10
A boat leaves the dock and travels at a constant speed. The table shows the distances the boat traveled. Determine the boat’s rate in miles per hour. Write an equation to determine the distance traveled after an amount of time has elapsed. Determine how many miles the boat will travel after 1.5 hours.
Rate: 27 miles per hour
Equation: d=27t
One More Point: 40.5 miles after 1.5 hours
Mr. Carrera types 80 words per minute.
Dependent- number of words he typed
Garrett is knitting a scarf for his best friend. So far, the scarf is 9.9 inches long. It takes him an hour of knitting to make the scarf an inch longer. The equation 𝓁 = h + 9.9 describes the length of the scarf in inches, 𝓁, after Garrett has been knitting a certain number of hours, h. How many more hours will Garrett need to spend knitting if he wants the scarf to be 36 inches long?
Garrett will need to knit for 26.1 more hours for the scarf to be 36 inches long.
Clara just joined the Bruins hockey team and she is training to increase her stamina. She uses a pedometer to track the number of miles she skates each week during training. She averages 10.5 miles per week. After 12 weeks, how many miles will Clara have skated?
210
6
17
126
Old MacDonald feeds grain to his 75 cows each day. He wants to determine the average amount of grain (in pounds) consumed by each cow daily.
Example:
c=g/75
A helicopter leaves its landing pad and travels at a constant rate. The table shows the distances the helicopter traveled. Determine the helicopter’s rate in kilometers per hour. Write an equation to determine the amount of time required to travel a given distance. Determine how many minutes it will take the helicopter to travel 72 miles.
Rate: 250 km per hour
Equation: t=d/250
One More Point: 0.288 hours to travel 72 miles