Percent Growth and Decay

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Presentation transcript:

Percent Growth and Decay Algebra 1 Day 3

What is the % change? 𝑓 𝑥 =30 (1.09) 𝑥

What is the % change? 𝑓 𝑥 =30 (1.09) 𝑥 9%

Is the equation increasing or decreasing? 𝐻 𝑥 =5 (.21) 𝑥

Is the equation increasing or decreasing? 𝐻 𝑥 =5 (.21) 𝑥 Decreasing

Is the equation increasing or decreasing? 𝑃 𝑥 =12 ( 7 3 ) 𝑥

Is the equation increasing or decreasing? 𝑓 𝑥 =0.25 (1.3) 𝑥

Is the equation increasing or decreasing? 𝑓 𝑥 =0.25 (1.3) 𝑥 Increasing

What is the % change? 𝐿 𝑥 =17 (1.26) 𝑥

What is the % change? 𝐿 𝑥 =17 (1.26) 𝑥 26%

Construct the Equation… Judy invested $100 in a stock that has been growing at a rate of 4% every day.

Construct the Equation… Judy invested $100 in a stock that has been growing at a rate of 4% every day. 𝑓 𝑥 =100 (1.04) 𝑥

Construct the Equation… Judy invested $100 in a stock that has been growing at a rate of 4% every day. How much will Judy get back if she collects her money after 10 days?

Construct the Equation… Judy invested $100 in a stock that has been growing at a rate of 4% every day. How much will Judy get back if she collects her money after 10 days? $148.02

Construct the Equation… There is a radioactive substance that is decaying at a rate of 3.5%.

Construct the Equation… There is a radioactive substance that is decaying at a rate of 3.5%. 𝑓 𝑥 =100 (.965) 𝑥

Construct the Equation… Showing an initial amount of $15 and an increase of 35% each year.

Construct the Equation… Showing an initial amount of $15 and an increase of 35% each year. 𝑓 𝑥 =15 (1.35) 𝑥

What is the % change? 𝑓 𝑥 =72 (.5) 𝑥

What is the % change? 𝑓 𝑥 =72 (.5) 𝑥 50%

What is the starting value? 𝑉 𝑥 =32 (.23) 𝑥

What is the starting value? 𝑉 𝑥 =32 (.23) 𝑥 32

Is the equation increasing or decreasing? 𝑓 𝑥 =0.25 ( 125 152 ) 𝑥

Is the equation increasing or decreasing. 𝑓 𝑥 =0 Is the equation increasing or decreasing? 𝑓 𝑥 =0.25 ( 152 125 ) 𝑥 Increasing

Construct the Equation… Ms Construct the Equation… Ms. Miller bought a box of 150 pencils for class. Each day they depreciate by 2%

Construct the Equation… Ms Construct the Equation… Ms. Miller bought a box of 150 pencils for class. Each day they depreciate by 9% 𝑓 𝑥 =150 (.91) 𝑥

Construct the Equation… Ms Construct the Equation… Ms. Miller bought a box of 150 pencils for class. Each day they depreciate by 2% How may days will go by for Ms. Miller to be out of pencils?

Construct the Equation… Ms Construct the Equation… Ms. Miller bought a box of 150 pencils for class. Each day they depreciate by 2% How may days will go by for Ms. Miller to be out of pencils? 54 Days

What is the % change? 𝐽 𝑥 =900 (1.987) 𝑥

What is the % change? 𝐽 𝑥 =900 (1.987) 𝑥 98.7%

Take 5 minutes to construct your own story for the equation below… 𝑓 𝑥 =82 (.55) 𝑥