Y=119.67(0.61) to the x power

Question

Based on the equation, how much more money in millions of dollars was earned in revenue for week 3 than for week 5

Answer 1

Let's break down the function in question. Based on your question, I am assuming that x represents the current week, while y represents the profit for that week.

Now let's look at a similar question, where the weekly revenue is calculated by the function y = (200)(0.8)^x and the 200 represents two hundred million dollars. Now, let's say we want to know how much more we made in week 2 compared to week 4.

We first need to evaluate the profit for weeks 1 & 2 (or x = 2 & x = 4). Lets start with x = 2. Following order of operations, we get:

y = (200)(0.8)² = (200)(0.64) = 128

Thus, they earned $112.5 million on week 2!

For x = 4:

y = (200)(0.8)⁴ = (200)(0.4096) = 81.92

Thus, they earned $81.92 million on week 4!

Now if we want to know how much more profit they earned in week 2 vs. week 4 (the difference), then we just subtract the profits of week 4 from week 2.

128 - 81.92 = 46.08

Hence, the company earned $46.08 million more during week 2 than week 4!

If you have any further questions or require clarification, do not hesitate to reach out!