Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Does the function model exponential growth or decay?

f(x)=3*((7)/(4))^(x)
Choose 1 answer:
(A) Growth
(B) Decay

Does the function model exponential growth or decay?\newlinef(x)=3(74)x f(x)=3 \cdot\left(\frac{7}{4}\right)^{x} \newlineChoose 11 answer:\newline(A) Growth\newline(B) Decay

Full solution

Q. Does the function model exponential growth or decay?\newlinef(x)=3(74)x f(x)=3 \cdot\left(\frac{7}{4}\right)^{x} \newlineChoose 11 answer:\newline(A) Growth\newline(B) Decay
  1. Determine Base Type: To determine whether the function represents exponential growth or decay, we need to examine the base of the exponential function, which is (74)(\frac{7}{4}) in this case. If the base is greater than 11, the function models exponential growth. If the base is between 00 and 11, the function models exponential decay.
  2. Base Comparison: Since 74\frac{7}{4} is greater than 11 (because 77 divided by 44 equals 1.751.75, which is greater than 11), the function f(x)=3×(74)xf(x) = 3 \times \left(\frac{7}{4}\right)^x represents exponential growth.

More problems from Interpret the exponential function word problem