All the solutions provided in **McGraw Hill My Math Grade 5 Answer Key PDF Chapter 7 Lesson 9 Graph Patterns** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Answer Key Chapter 7 Lesson 9 Graph Patterns

**Math in My World**

**Example 1**

Tricia and her friends decided to rent bicycles to ride on their weekend trip. Bikes ‘N More charges $5 for each hour and Adventure Bikes charges $10 for each hour. Find the cost of renting a bicycle from each store for 1, 2, 3, and 4 hours.

1. Complete the tables below.

Answer:

Explanation:

Bikes ‘N More charges $5 for each hour.

Adventure Bikes charges $10 for each hour.

The cost of renting a bicycle from each store for 1, 2, 3, and 4 hours.

For N bikes,

1 x 5 = 5

2 x 5 = 10

3 x 5 = 15

4 x 5 = 20

For Adventure bikes,

1 x 10 = 10

2 x 10 = 20

3 x 10 = 30

4 x 10 = 40

as shown in the above table.

2. Generate ordered pairs. Let each x-coordinate represent the number of __________. Let each y-coordinate represent the ___________.

Bikes ‘N More

(1, _______), (2, _______), (3, _______), (4, _______)

Adventure Bikes

(1, _______), (2, _______), (3, _______), (4, _______)

How much more would it cost to rent bicycles for 3 hours from

Adventure Bikes than from Bikes ‘N More? ___________

Answer:

Each x-coordinate represent the number of hours.

Each y-coordinate represent the cost.

Bikes ‘N More,

(1, 5), (2, 10), (3, 15), (4, 20)

Adventure Bikes,

(1, 10), (2, 20), (3, 30), (4, 40)

Total cost to rent bicycles for 3 hours from,

Adventure Bikes than from Bikes ‘N More = $15.

Explanation:

Bikes ‘N More charges $5 for each hour.

Adventure Bikes charges $10 for each hour.

The cost of renting a bicycle from each store for 1, 2, 3, and 4 hours.

For N bikes,

1 x 5 = 5

2 x 5 = 10

3 x 5 = 15

4 x 5 = 20

For Adventure bikes,

1 x 10 = 10

2 x 10 = 20

3 x 10 = 30

4 x 10 = 40

**Example 2**

Refer to Example 1. Graph each set of ordered pairs on a coordinate plane. Label each set of ordered pairs. Does the difference in costs between the two stores increase or decrease as the number of hours increase?

The graph shows that the difference in costs between the two stores ____________ as the number of hours increase.

Answer:

The difference in costs between the two stores increase as the number of hours increase.

Explanation:

The cost of bicycles per hour between two stores is shown in the above graph.

**Guided Practice**

Question 1.

Birdseed is sold in 8-pound bags and 24-pound bags at the local store. Find the weight of buying 1, 2, 3, and 4 bags of both sizes of birdseed.

Complete the tables below.

Generate ordered pairs. Let each x-coordinate represent the number of ___________. Let each y-coordinate represent the ____________.

8-Pound Bag

(1, _______), (2, _______), (3, _______), (4, _______)

24-Pound Bag

(1, _______), (2, _______), (3, _______), (4, _______)

How many more pounds of birdseed would there be if you purchased 2 bags of 24-pound birdseed than 2 bags of 8-pound birdseed?

Answer:

Explanation:

Let each x-coordinate represent the number of bags.

Let each y-coordinate represent the weight.

8-Pound Bag,

(1, 8), (2, 16), (3, 24), (4, 32)

24-Pound Bag,

(1, 24), (2, 48), (3, 72), (4, 96)

32 pounds more pounds of birdseed would there be.

If you purchased 2 bags of 24-pound birdseed than 2 bags of 8-pound birdseed.

48 – 16 = 32 pounds.

**Talk Math**

Explain how you would graph two real-world patterns using ordered pairs.

Answer:

Explanation:

Let each x-coordinate represent the number of bags.

Let each y-coordinate represent the weight.

8-Pound Bag,

(1, 8), (2, 16), (3, 24), (4, 32)

24-Pound Bag,

(1, 24), (2, 48), (3, 72), (4, 96)

**Independent Practice**

Question 2.

Speedy Cab charges $2 per mile traveled while Purple Cab charges $4 per mile traveled. Find the costs of traveling 1, 2, 3, and 4 miles for both cab companies. Then graph the results as ordered pairs.

Does the difference in cost between the two taxi services increase or decrease as the number of miles increase?

Answer:

Yes, the difference in cost between the two taxi services increase as the number of miles increase.

Explanation:

The difference in cost between two cabs increases as shown above table,

per mile it doubles its cost.

Let each x-coordinate represent the number of miles.

Let each y-coordinate represent the cost per mile.

For speedy cab,

(1, 2), (2, 4), (3, 6), (4, 8)

For purple cab,

(1, 4), (2, 8), (3, 12), (4, 16)

Question 3.

Jennifer makes $9 per hour working for her neighbors after school each day. Carmen works for a local farmer and makes $3 per hour working after school each day. Find the total amount earned for each girl if they work 1, 2, 3, and 4 hours. Then graph the results as ordered pairs.

How much more money would Jennifer make if both girls worked 3 hours?

Answer:

$18

Explanation:

As per the above graph,

to find the – how much more money would Jennifer make,

if both girls worked 3 hours,

the difference between the money earned at 3 hours,

27 – 9 = $18

**Problem Solving**

Question 4.

Jason places books in his book bag to take home. Each book weighs 2 pounds. Mason has books that weigh 3 pounds each. Find the weights of 1, 2, 3, and 4 books for both Jason and his brother. How many more pounds would Mason carry if they both carried 4 books? Generate ordered pairs. Then graph the ordered pairs on a coordinate plane.

Answer:

Explanation:

Let each x-coordinate represent the number of book.

Let each y-coordinate represent the weight.

2-Pound Book,

(1, 2), (2, 4), (3, 6), (4, 8)

3-Pound Book,

(1, 3), (2, 6), (3, 9), (4, 12)

**HOT Problems**

Question 5.

**Mathematical PRACTICE** Plan Your Solution Write a real-world problem for which you could compare patterns by graphing ordered pairs.

Answer:

James and his friend decided to rent racing motor cycle to ride on their adventure trip for mountain riding. Motor cycle KTM 200 charges $10 for each hour and Duke 200 motor cycle Bikes charges $15 for each hour. Find the cost of renting a bicycle from each store for 1, 2, 3, and 4 hours.

Explanation:

Let each x-coordinate represent the number of hours.

Let each y-coordinate represent the cost per hour.

KTM – 200,

(1, 10), (2, 20), (3, 30), (4, 40)

Duke – 200,

(1, 15), (2, 30), (3, 45), (4, 60)

Question 6.

**Building on the Essential Question** How are graphs used to represent patterns?

Answer:

Mathematical tables and graphs are a good way to represent patterns.

They organize data and can reveal relationships, making it easier to write equations.

The Cartesian plane is a plane used to show the position of any point relative to a horizontal number line and a vertical number line.

### McGraw Hill My Math Grade 5 Chapter 7 Lesson 9 My Homework Answer Key

**Problem Solving**

Question 1.

**Mathematical PRACTICE** Model Math Jarrett walks his puppy outside every day for 30 minutes. Angela walked her puppy every day for 90 minutes. Find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days. Then graph the results as ordered pairs. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarrett walking his puppy over 2 days?

Answer:

120 more minutes.

Explanation:

Jarrett walks his puppy outside every day for 30 minutes.

Angela walked her puppy every day for 90 minutes.

Number of minutes that each puppy walked for 1, 2, 3, and 4 days is shown in the above graph.

If 120 more minutes does Angela spend walking her puppy over 2 days compared to Jarrett walking his puppy over 2 days,

180 – 60 = 120 more minutes.

**Test Practice**

Question 2.

Emily drinks 6 cups of water every day, while Jackie drinks 8 cups of water every day. Which graph represents the total amount of water consumed by Emily and Jackie over a 4-day period?

Answer:

Option(D)

Explanation:

Emily drinks 6 cups of water every day,

while Jackie drinks 8 cups of water every day.

The total amount of water consumed by Emily and Jackie over a 4-day period,

32 – 24 = 8 cups.