Exponential Decay and Growth

Solve the following equation for y:

 $4y\ +\ 8\ =\ x$  

• 
  

  $y\ =\ 4x\ -2$
  

• $y\ =\ \frac{1}{4}x-2$

• $y\ =\ -\frac{1}{4}x+2$

• $y\ =\ 2x\ +\ 4$

Solve the following equation for y:

 $-6x=12\ –\ 2y$  

•  $y\ =\ -3x-6\$  

•  $y\ =\ -6x\ +\ 3$  

•  $y\ =\ 3x\ +\ 6$  

•  $y\ =\ \frac{1}{3}x+\ 6$  

Solve the following equation for y:

 $3y+x=15$  

•  $y\ =\ 5x\ +\ 3$  

•  $y\ =\ \frac{1}{3}x-5$  

•  $y\ =\ 3x\ +\ 5$  

•  $y\ =\ -\frac{1}{3}x+5$  

Solve the following equation for y:

 $6=x+2y$  

•  $y\ =\ \frac{1}{3}x+2$  

•  $y\ =\ \frac{1}{2}x\ -\ 3$  

•  $y\ =\ -\frac{1}{2}x+3$  

•  $y\ =\ 3x\ +\ \frac{1}{2}$  

What type of function is this?

What is the equation?

• Linear: $y\ =\ -3x\ +\ 2$

• Linear: $y\ =\ -6x\ +\ 2$

• Exponential: $y\ =\ \frac{1}{4}\left(2\right)^x$

• Exponential:

  $y\ =\ 2\left(\frac{1}{4}\right)^x$
  

Identify the Growth Factor and whether the function is Exponential Decay or Growth.

 $y\ =\ 2\left(1.45\right)^x$  

• Decay, 0.55

• Decay, 0.45 

• Growth, 1.45 

• Growth, 2.45 

Identify the Growth Factor and whether the function is Exponential Decay or Growth.

 $y\ =\ -4\left(0.5\right)^x$  

• Decay, 0.5 

• Decay, 0.6 

• Growth, 1.5 

• Growth, 0.5 

Identify the Growth Factor and whether the function is Exponential Decay or Growth.

 $y\ =\ \left(0.98\right)^x$  

• Growth, 0.98

• Growth, 1.98 

• Decay, 0.98

• Decay, 0.02 

Identify the Growth Factor and whether the function is Exponential Decay or Growth.

 $y\ =\ 4\left(3\right)^x$  

• Decay, 0.4

• Decay, 3

• Growth, 3

• Growth, 2

What is the growth rate?

 $y\ =\ \left(0.2\right)^x$  

• 0.2

• 1.2

• 0.8 

• 1