In the function f(t) = 30(0.97)^t, what is the rate of change?
a. 3% growth
b. 3% decay
c. 97% decay
d. 97% growth

Option b - 3% decay

Step-by-step explanation:

We have given that :  

To find : Rate of change

Solution : Let the rate of change is denoted by r

and the growth rate of given function is 1-r = 0.97

                                                                ⇒ r =1-0.97 = 0.03

                                                                ⇒ r= 3%

Since the growth rate is -ve therefore, there is a decay rate

The rate of change is 3% decay -Option b is correct

step-by-step explanation:

just plug in each number for x and see which ones work and don't

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.