Question

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Two quantities have a

proportional relationship

Build Understanding

1

Maxine walks dogs to earn extra money. The table of

values shows the proportional relationship between

the number of dogs Maxine walks and the amount of

money she earns.

if the ratio of one quantity

to the other is a constant

In a proportional

2.

4.

6

Dogs walked

Amount ($)

relationship, the constant

unit rate is called the

constant of proportionality

and is usually represented

7

14

21

by the letter k.

A. Show that the ratio of dogs walked to amount

earned is a constant ratio.

B. Show that the ratio of amount earned to dogs

walked is a constant ratio.

1

I 글

C. What is the unit rate of dogs walked per dollar

earned? Does it make sense? Explain.

D. What is the unit rate of dollars earned per dog walked? Does it

make sense? Explain.

E. What is the constant of proportionality k in this situation?

F. Describe what the unit rate k represents in this situation.

Answer 1

The value of k is $3.5/Dog

Explanation:

A. 3.5

Dogs $ k ($/D)

2 7 3.5

4 14 3.5

6 21 3.5

The unit rate, k, is the price to walk a dog. It is a constant for the data given. Maxine charges $3.50 for each dog that she walks.

This makes sense because we see that when Maxine walked 6 dogs, she earned (6 dogs)*($3.5/dog) = $21

The constant of proportionality is 3.5 ($/dog)