7th Grade Math

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Slope

PART A BCDE

Multi-Part

Lesson 2

GLE 0706.3.6

Conceptualize the meanings

of slope using various

interpretations,

representations, and

contexts. SPI 0706.3.4

Interpret the slope of a line

as a unit rate given the

graph of a proportional

relationship. Also addresses

GLE 0706.1.5, GLE 0706.3.5,

SPI 0706.3.5.

Lesson 2A Slope 391

Main Idea

Understand slope

as it relates to rate

of change.

Rate of Change

PET CARE The Happy Hound is a

doggie daycare where people can

drop off their dogs while they are

at work. Farah takes her dog to the

Happy Hound several days a week.

The table shows their prices. Use a

graph to determine how the number

of hours is related to the cost.

Pet Care

Number

of Hours Cost ($)

1 2 3 4 5 6

3.00

6.00

9.00

12.00

15.00

18.00

Pet

Numbe

of Hour

1 2 3 4 5 6

What do you need to find? the relationship between number of

hours and cost for pet care at Happy Hound

The cost is a function of the number of hours. So, the cost is the

output y, and the number of hours is the input x. Create a graph

of the data.

(^2468)
5
10
15
Cost ($)
20
Hours
0
Happy Hound Prices
the Results

1. Is the graph linear? Explain.


2. What is the cost per hour, or unit rate, charged by the Happy
   Hound?


3. Examine any two consecutive ordered pairs from the table. How
   do the values change?


4. Is this relationship true for any two consecutive values in the table?


5. Use the graph to examine any two consecutive points. By how
   much does y change? By how much does x change?


6. How does this change relate to the unit rate?

391_400_C07_L2_895130.indd 391 12/31/09 4:25 PM