Question

Which statement BEST describes the equation where A represents the initial value and x represents time in years?

Answer 1

The function of exponential growth or decay is given as  y= a(1 ± r)ˣ.  y represents a function of exponential decay with 45%. The correct option is D.

What is exponential growth or decay function?

Consider the function:

y= a(1 ± r)ˣ

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

• If there is plus sign, then there is exponential growth happening by r fraction or 100r %.
• If there is negative sign, then there is exponential decay happening by r fraction or 100r %.

If we compare the given function with the exponential function, then it can be observed that the value of (1±r) is less than 1, therefore, the function will be of exponential decay.

Now, if the (1-r) is compared with 0.55 given in the function than the value of r will be,

1 - r = 0.55

-r = 0.55 - 1

-r = -0.45

r = 0.45

r = 45%

Hence, y represents a function of exponential decay with 45%.

Learn more about exponential growth and decay here:

brainly.com/question/2193820

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