F(t)=30(0.97)∧t whats the rate of change

Hey there, Lets solve this together. 

 

 

The variable (R) will be representing the rate as a decimal.

When you solve for (R) multiply by 100 to get the percentage. A percentage is a rate, number, or amount in each hundred. 

"0.97" will be replaced by "(97/100)"

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the given equation 

 

Rewrite the whole as a fraction using  10  as the denominator :

 

Add the two equivalent fractions which now have a common denominator 

 

 

 

The equation now takes the shape :
   t  •  (10f-291)  = 0

 f = 291/10 = 29.100

 t = 0

Positive = Growth 

Negative = Decay