(7) Inquiry Lab - Rate of Change

1. How is unit rate related
to rate of change?
Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-7

2. • 7.RP.2
Recognize and represent proportional relationships between
quantities.
• 7.RP.2b
Identify the constant of proportionality (unit rate) in tables,
graphs, equations, diagrams, and verbal descriptions of
proportional relationships.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-7 Common Core State Standards © Copyright 2010. National Governors Association Center
for Best Practices and Council of Chief State School Officers. All rights reserved.

3. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-7
Activity
continued

Happy Hound is a doggie daycare where people drop off their
dogs while they are at work. It costs $3 for 1 hour, $6 for 2 hours,
and $9 for 3 hours of doggie daycare. Farah takes her dog to
Happy Hounds several days a week. Farah wants to determine if
the number of hours of daycare is related to the cost.
Assume the pattern in the
table continues. Complete
the table as shown.

4. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-7
Happy Hound is a doggie daycare where people drop off their dogs while
they are at work. It costs $3 for 1 hour, $6 for 2 hours, and $9 for 3 hours
of doggie daycare. Farah takes her dog to Happy Hounds several days a
week. Farah wants to determine if the number of hours of daycare is
related to the cost.
The cost depends on the number of
hours. So, the cost is the output y,
and the number of hours is the
________________. Graph the data
on the coordinate plane.

5. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-7
How is unit rate related
to rate of change?