In this activity, you will explore the values of the expressions 3 x - - PowerPoint PPT Presentation

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Mar 21, 2023 405 likes •531 views

D AY 88 SIMPLE AND COMPOUND INTEREST W ORD P ROBLEM In this activity, you will explore the values of the expressions 3 x and 3 x as x changes from 0 to 5. You will compare the two expressions by investigating patterns in how their values

SLIDE 1

DAY 88 – SIMPLE AND COMPOUND

INTEREST

SLIDE 2

WORD PROBLEM

In this activity, you will explore the values

f the expressions 3x and 3x as x changes

from 0 to 5. You will compare the two expressions by investigating patterns in how their values change both in a table and graphically.

SLIDE 3

1.Complete the table below. Which column is growing faster?

SLIDE 4

2. a. As x increases from 2 to 3 in the table, how does the value of 3x

change?

b. As x increases by 1, describe the pattern in the numbers in the 3x

column of the table.

3. a. As x increases from 2 to 3 in the table, how does the value of 3x

change?

b. As x increases from 3 to 4 in the table, how does the value of 3x

change? c.As x increases by 1, describe the pattern you notice in the numbers in the 3x column of the table.

SLIDE 5

4.Graph the points in Desmos. Compare the two graphs 5.What is the domain when the values for 3x increasing faster than the values for 3x?

SLIDE 6

6.Aaron says that the values of f(x) = 5x will increase faster than the values of the linear function f(x) = 5x. Do you agree or disagree? Support your answer. Define the domain where this is true. Define the domain where this is false.

SLIDE 7

ANSWER KEY

1.Complete the table below. Which column is growing faster?

SLIDE 8

2. a. As x increases from 2 to 3 in the table, how does the value of 3x

change? Increases by 3

b. As x increases by 1, describe the pattern in the numbers in the 3x

column of the table. you can add 3 each time

3. a. As x increases from 2 to 3 in the table, how does the value of 3x

change? multiplied by 3, goes up by 18

b. As x increases from 3 to 4 in the table, how does the value of 3x

change? multiplied by 3, goes up by 54

c. As x increases by 1, describe the pattern you notice in the

numbers in the 3x column of the table. multiplied by 3

SLIDE 9

4. Graph the points in Desmos. Compare the two graphs
5. What is the domain when the values for 3x increasing

faster than the values for 3x? x > 1

SLIDE 10

6.Aaron says that the values of f(x) = 5x will increase faster than the values of the linear function f(x) = 5x. Do you agree or disagree? Support your answer. answer will vary Define the domain where this is true. x > 1 Define the domain where this is false. x ≤ 1