For the exponential equation is it a growth or decay function and what is the y-intercept and the rate of growth or decay?

a) growth, y- intercept = 1, rate is 66%

b) decay, y- intercept = 3.4, rate is 34%

c) decay, y- intercept = 3.4, rate is 66%

d) growth, y- intercept = 3.4, rate is 34%

Option: B is the correct answer.      

B)     Decay, y- intercept = 3.4, rate is 34%

Step-by-step explanation:

We are given an exponential equation as follows:

We know that any exponential function of the type:

is growth function if: b>1

and is a decay function if 0< b< 1

Hence, here we have: b=0.66<1

Hence, the function is a decay function.

Also, we know that the y-intercept of a function is the point where x=0

Hence, we take x=0

we have:  

Hence, the y-intercept is:   3.4

Also, the rate of a function is denoted by 'r'

where b=1-r

    ⇒ 0.66=1-r

   ⇒   r=1-0.66

    ⇒ r=0.34

Hence, the rate is: 34%

          option: B is the correct answer.

64.00 it is 64.00

Step-by-step explanation: