Identify the key components, create an exponential equation, then answer the questions. ​Exponential Form: y=a⋅bx, a is the starting value, b is the base (rate). ​

Question

Some bugs in an abandoned food warehouse are expanding exponentially. The population started as 40 bugs and is quadrupling every month. How many bugs will there be after 2 months? 4 months? 1 year?

​

​1) a =

2) b = 

​3) Equation: 

4) Bugs after 2 months =

5) Bugs after 4 months =

6) Bugs after 1 year =

Answer 1

a is the initial amount​

1) a = 40

quadrupling every month.

2) b = 4

​3) Equation: y = 40 (4)^x

4) Bugs after 2 months = 40 (4)²

5) Bugs after 4 months = 40 (4)⁴

6) Bugs after 1 year = 40 (4)¹²