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.
<h3>What is exponential growth or decay function?</h3>
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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