Verbal
Equations
Rate of Change
Initial Value
100

Zach tracks his community service hours for Boy Scouts. Last month he provided 4.5 hours of service per week. What is the rate of change?

What is 4.5 hours

100

If Bobby is traveling at a speed of 70 km per hour, which equation best represents the relationship between time in hours, t, and distance in km, 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

What is the initial value in this equation C = 10t + 20?

What is 20.

200

Ms. Singh can bake 20 cookies an hour. What is the rate of change?

What is 20 cookies an 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

Ms. Singh can mark 10 tests in 2 hours. What is the rate per hour? 

5 tests per hour. 

200

The relation between number of toppings on a pizza and cost is represented by the equation C = 0.50t + 10. What is the initial value and what does it represent?

What is $10, and it represents the cost of just the pizza. 

300

Ms. Singh 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 rate of change at which cookies are sold at the bake sale?

What is 0.75?

300

Byron opened a savings account with an initial deposit of $25. He will deposit $25 a month. Write an equation to represent time in months (m) and amount in his account (a) 

What is a = 25m + 25

300

The equations D = 3000 - 190t, represents the relation between time in minutes (t) and distance left in a race. What is the rate of change and what does it represent? 

What is -190, represents the distance covered per minute. 

300
Make an equation with an initial value of 5. 

Answers will vary. 

400

A rock climber's height, in feet, when climbing a shear wall can be expressed by the equation h = 15t, where t is time measured in hours. What is the rate change and what does it represent?

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. What is the rate of change?

What is 0.5

400

Larry charged a client $500 for plumbing services for 8 hours work. If the initial value is $100, what is the rate of change? 

What is $50

400

A plumber charges $30/hour and $150 to buy materials. What is the initial value?

What is $150. 

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 exactly the same, what is the rate of change?

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

Ms. Singh held a party for 50 people. She paid a total of $2000. If the initial fee to rent the place is $500, how much was rate of change and what does it represent? 

What is $30 per person. 

500

Suzy charges $28/hour for babysitting. For a 4.5 hour job she charged $141. What is her initial fee that she charges? 

What is $15. 

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