Question

A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which graph shows the boat's value decreasing at a rate of 40% per year?

A, B, C, or D

Answer 1

Answer:

The correct option is the third graph.

Step-by-step explanation:

i) Which graph shows the boat's value decreasing at a rate of 40% per year?

ii) only the 3rd and 4th graphs show a decreasing function with respect to time.

iii) the fourth graph shows negative values for the boat which is also not possible.

iv) So the correct option is the third graph.

Answer 2

Answer: Graph attached.

Given that the boat's value decreasing at a rate of 40% per year.

So after each year the value becomes = 1 - 40% = 1 - 0.40 = 0.60 of the previous year.

So the equation becomes: $A(x) = 400(0.60)^x + 0$

Since, b = 0.60 < 1, so A(x) is a decreasing function. And for every value of x, A(x) > 0.

The attached graph matches these criteria.

Learn more: https://brainly.com/question/1214333