Exponential Equations | Baamboozle - Baamboozle | The Most Fun Classroom Games!

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A major teach company, Expo Grow, is growing fast. The number of employees, y, can be found using y=3(4)^x where x is the years since the company was founded. How many people formed the company?

3

The math club is growing in popularity! Each year their membership increases by 30%. If the club has 45 members, how many members should it expect to have five years from now?

167

What type of graph is created by the equation y = ab^x?

Exponential

Complete the table.

20, 60, 180

Write an equation to represent the graph.

y=1(0.25)^x

A smart phone loses 30% of its value each year. If a smart phone initially costs $120, write an equation to model its value.

y=120(0.7)^x

How can you tell if an equation is exponential decay?

0<b<1

Write an equation to represent the table.

y=7(2)^x

Arnold dropped a ball and recorded its height in the table shown. Write an equation to represent the data.

y=132(0.8)^x

A 100-gram sample of radioactive isotope decays at a rate of 6% every week. How big will the sample be one year from now?

4 grams

Write an equation to represent the table.

y=27(2/3)^x

What is an asymptote?

An imaginary line the graph gets closer and closer to.

How can you tell if an equation is exponential growth?

b>1

Is the equation y = 5(-4)^x an exponential? Explain your reasoning.

No. The b-value cannot be negative.

A major teach company, Expo Grow, is growing fast. The number of employees, y, can be found using y=3(4)^x where x is the years since the company was founded. Describe the growth.

The number of employees quadruple each year.

There are currently 1800 trout in a lake. The Fish and Game Dept found that each week 33 percent of the fish die. Write an equation to model the number of fish in the lake.

y=1800(0.67)^x

What is the asymptote of all the exponential functions we have studied so far?

The x-axis or y = 0.

Write an equation to represent the table.

y=600(0.5)^x

Write an equation to represent the table.

y=11(3)^x

What type of graph is created by the equation y = mx + b?

Linear