Question

You have to decide which of two prizes you will accept! • Prize A: $5,000 for the first month with a $100 increase every month thereafter. • Prize B: $2,000 for the first month with a 10% increase every month thereafter.A) Create an equation for each situation (Prize A and Prize B). B) Use each equation to complete the table to the right.C) When will prize B earn more than prize AD) How much more will prize B earn than prize A in the 12th month?

Answer 1

(c)12th Month

(d)$76.86

Step-by-step explanation:

Part A

Prize A: $5,000 for the first month with a $100 increase every month thereafter.

`y_1=5,000+100x`

Prize B: $2,000 for the first month with a 10% increase every month thereafter.

`\begin{gathered} y_2=2000(1+(10)/(100))^x \\ y_2=2000(1.1)^x \end{gathered}`

Part B

The table is completed and attached below:

Part C

As seen from the table, Prize B will earn more than prize A in the 12th Month.

Part D

`\begin{gathered} \text{Difference in the 12th Month=6276.86-6200} \\ =\$76.86 \end{gathered}`

Prize B will earn $76.86 more than prize A in the 12th month.