Exponential Functions Snow Day Assignment (2/20)

A population of bacteria doubles every hour. If the initial population is 100 bacteria, which exponential function represents this growth?

• 4

• 3

• 3(4)

Examine the table below. Is this relationship linear or exponential?

• Linear, because the differences are constant

• Linear, because the values triple

• Exponential, because the differences are constant

• Exponential, because each value is multiplied by 3

Which growth factor is the largest?

A sound wave's amplitude decreases by half every second. If the initial amplitude is 80 decibels, which function models this decay?

A sound wave's amplitude decreases by 1/3 every second. If the initial amplitude is 95 decibels, which function models this decay?

Which of these tables represents an exponential relationship?

• A. x: 1,2,3,4 y: 2,4,6,8

• B. x: 0,1,2,3 y: 1,3,9,27

• C. x: 2,4,6,8 y: 4,8,12,16

• D. x: 1,2,3,4 y: 5,10,15,20

• 7

• x

• 5

• 7(5)

A colony of cells triples every day. If there are initially 50 cells, which function models this growth?

Which function has the smallest initial value?