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Describe the percent change of the function y = 45(1.39)^x.

a) 45% increase
b) 39% increase
c) 139% increase
d) Exponential growth

User Qing Guo
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1 Answer

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Final answer:

The percent change of the function y = 45(1.39)^x represents a 39% increase in y for each unit increase in x, which is characteristic of an exponential growth function.

Step-by-step explanation:

The student is asking about the percent change of the function y = 45(1.39)^x. The general form of an exponential growth function is y = ab^x, where a is the initial amount (in this case, 45), and b is the base that represents the growth rate. Considering the function given, the growth rate is 1.39. This means that with each increase of 1 in x, the value of y increases by a factor of 1.39, which translates to a 39% increase each time (since 1.39 is equal to 139% as a proportion, where the original 100% signifies no change and the additional 39% indicates growth). Therefore, the correct answer is a 39% increase per unit change in x.

User Giovanna
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