Question

Question 1 Multiple Choice Worth 2 points(05.05)A boat's value over time is given as the function to and graphed below. Use A(x) = 400(b) + 0as the parent function. Which graph shows the boat's value decreasing at a rateof 40% per year?

Answer 1

Solving for the function for which the boat's value decreases 40% per year, we have

`\begin{gathered} A(x)=400(b)^x \\ \text{Since it will decrease by 40\%, }b\text{ is equal to} \\ A(x)=400(1-0.4)^x \\ A(x)=400(0.6)^x \end{gathered}`

Graphing our new function that is decreasing over time and we get