This handy Math in Focus Grade 5 Workbook Answer Key Chapter 11 Graphs and Probability provides detailed solutions for the textbook questions.

## Math in Focus Grade 5 Chapter 11 Answer Key Graphs and Probability

**Put On Your Thinking Cap!**

**Challenging Practice**

**Complete.**

Question 1.

The table shows the conversion from gallons to pints. Complete the table.

Answer:

Explanation:

1 gallon = 8 pints

if number of gallons (x) = 1,

number of pints (y) = 1 x 8 = 8

So, substitute the x value and multiply with 8 to complete the table.

Question 2.

Write the equation relating the number of pints (y) to the number of gallons (x).

______________

Answer:

y = x × 8

Explanation:

x – Number of Gallons

y – Number of Pints

y = x × 8

Question 3.

Draw the graph of the equation. Label the axes and the equation.

Answer:

Explanation:

Above graph shows the conversion between pints and gallons.

Take number of gallons on x-axis and number of pints on y-axis.

Take the difference between each pint as 10.

**Use the graph to answer the questions.**

Question 4.

How many pints is 3\(\frac{1}{2}\) gallons?

Answer:

28 pints

Explanation:

y = 3\(\frac{1}{2}\) × 8 = 28 gallons

Question 5.

How many pints is 4\(\frac{1}{2}\) gallons?

Answer:

36 gallons

Explanation:

y = 4\(\frac{1}{2}\) × 8 = 36 pints

Question 6.

How many gallons is 20 pints?

Answer:

2 \(\frac{1}{2}\) gallons

Explanation:

20 =x × 8 = 28 gallons

x = \(\frac{20}{8}\)

= 2 \(\frac{4}{8}\)

Question 7.

How many gallons is 44 pints?

Answer:

5\(\frac{1}{2}\) gallons

Explanation:

y = x × 8

**Complete.**

Question 8.

The table shows the conversion from quarts to cups. Complete the table.

Answer:

Explanation:

1 Quarts = 4 cups

if number of Quarts (x) = 1,

number of cups (y) = 1 x 4 = 4

So, substitute the x value and multiply with 4 to complete the table.

Question 9.

Write the equation relating the number of cups (y) to the number of quarts (x).

Answer:

y = x × 4

Explanation:

x is Number of Quarts

y is Number of Cups

y = x × 4

**Put On Your Thinking Cap!**

**Problem Solving**

**Solve.**

Question 1.

Jim has a dime, a nickel, and a quarter. How many different amounts of money can he form using one or more of these coins?

Answer:

These are the possible coins combinations

Explanation:

A probability is a number that reflects the chance or likelihood that a particular event will occur.

So, Jim has the above combinations of coins.

Question 2.

There are an equal number of red, blue, and green beads in a bag. One bead is picked, its color is noted and the bead is replaced. Then a second bead is picked.

a. Draw a tree diagram to show the outcomes.

Answer:

Explanation:

You might observed total 9 combinations as per the above tree diagram.

Now, probability of picking different color beads, is as shown in the diagram.

As we know probability is a number that reflects the chance or likelihood that a particular event will occur.

b. What is the probability of picking two red beads?

Answer:

\(\frac{1}{9}\)

Explanation:

You might observed total 9 combinations as per the above tree diagram.

Now, probability of picking two red beads, is as shown in the diagram below.

c. What is the probability of picking one red and one green bead?

Answer:

\(\frac{2}{9}\)

Explanation:

You might observed total 9 combinations as per the above tree diagram.

Now, probability of picking one red and one green bead, is as shown in the diagram below.

d. What is the probability of picking no red beads?

Answer:

\(\frac{4}{9}\)

Explanation:

You might observed total 9 combinations as per the above tree diagram.

Now, probability of picking no red, means first select blue and green.