Verbal
Equations
Unit Rate
Constant of Proportionality
Mixed
100
Zach tracks his community service hours for Boy Scouts. Last month he provided 4.5 hours of service per week. What is his constant rate of change?
What is 4.5 hours
100
Bobby has been driving at a constant speed for the last 30 minutes. If Bobby is traveling at a speed of 70 miles per hour, which equation best represents the relationship between time in hours, t, and distance in miles, d?
What is d=70t?
100
An editor charges a per page fee to edit a book. The current book being edited is 304 pages. If the editor charges $3,344 to edit the book, what is the per page fee?
What is $11.00?
100
It takes Bobby and Jeremy 15 minutes to set up 5 tables. If Bobby and Jeremy work at a constant rate, which best describes a possible constant of proportionality?
What is 3 minutes per table?
100
Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours. Is the rate of change constant, why or why not?
What is yes, he charges 6.25 per hour?
200
The cost to repair a vehicle has an initial fee of $60 plus $85 per hour for labor. Write An Equation for the relationship
What is c=60+85h?
200
Virginia purchased 3 packets of flower seeds to plant in her garden. If forty-five flowers bloomed, and each packet contained the same amount of seeds, what is the constant of proportionality?
What is 15 flowers per packet?
200
A submarine dives 300 feet every 2 minutes, and 6,750 feet every 45 minutes. Is the rate of change constant, why or why not?
What is yes 150 feet per minute?
300
Mrs. Khan makes cookies for the school bake sale. She uses the equation c = 0.75x to determine the cost, c, for x cookies. What is the constant rate at which cookies are sold at the bake sale?
What is .75?
300
Byron opened a savings account with an initial deposit of $25. He then deposited $25 a month for twenty-four months. Write an equation
What is 25+25m=s
300
Store A sells a 100-ounce bottle of cleaner for $12.99, Store B sells the same cleaner for $9.49 for a 70-ounce bottle, and Store C sells a 90-ounce bottle of the same cleaner for $10.98. Which store has the best buy for the cleaner?
What is Store C?
300
A movie theater sells tickets for groups of 35 students for $210. Which statement best describes this proportional relationship?
What is $6 per student.
300
Two pounds of cashews shown cost $19, and 8 pounds cost $76. Show that the relationship between the number of pounds of cashews and the cost is a proportional relationship.
What is cashews cost $9.50 each
400
A rock climber's height, in feet, when climbing a shear wall can be expressed by the equation h = 15t, where tis time measured in hours. Which best describes this proportional relationship?
What is 15 feet per hour?
400
The depth, in inches, of an object as it sinks in the river is found by the equation d = 0.5t, where t is measured, in seconds. Which best describes the constant of proportionality?
What is .5
400
The Rives family plans to travel to the beach for a summer vacation. The family spends $67.50 for 23 gallons of gasoline. The distance between their home and the beach is approximately 350 miles. To the nearest cent, how much money did the Rives family spend per gallon on gas for the trip?
What is $2.93?
400
Marco bought a box of nails at the hardware store for $3.60. If the box contains 180 nails, the equation 3.60 = 180k can be used to determine the unit cost per nail. Which best describes k?
What is $.02 per nail?
400
For a school field trip, there must be 1 adult to accompany 12 students,3 adults to accompany 36 students, and 5 adults to accompany 60 students. Show that the relationship between the number of adults and the number of students is a proportional relationship.
What is 1 adult for every 12 students?
500
The manager of a local shopping center estimates there are 2,574 people who enter the shopping center each weekday during the holiday season. The center is open from 9 A.M. to 10 P.M. each weekday. Assuming the number of people entering the shopping center each hour is consistent, what is the constant of proportionality?
What is 198 people per hour?
500
Given the equation y = kx where y = 1.2 and x = 1. 5, what is the value of k?
What is 1.8?
500
The Jones family drove 336 miles to their vacation destination. Mr. Jones drove for 2 hours, Mrs. Jones drove for 1.4 hours, and Marcus drove the remaining 1.25 hours. To the nearest tenth, what was the average rate of speed in miles per hour for the Jones' family trip?
What is 72.3 miles per hour?
500
Consider the equation y = kx where y = 7.5 and x = 3. Which value represents k?
What is 22.5?
500
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