Question

The first raffle ticket cost $5. Each raffle ticket after that cost $2 per ticket. Write a function to show how much money r amount of raffle tickets cost. How much money will 8 raffle tickets cost? How many raffle ticket can you buy for $15?

Answer 1

Answer:

• A(r)=5+2(r-1)

,

• $19

,

• 6 tickets

Explanation:

Cost of the first raffle ticket = $5.

Cost of each raffle ticket after that =$2.

A function to show how much money r amount of raffle tickets cost will therefore be:

$\begin{gathered} A(r)=5+2(r-1) \\ \text{Where:} \\ A=Amount \\ r=\text{Number of Raffle Tickets} \end{gathered}$

Cost of 8 raffle tickets

$\begin{gathered} A(8)=5+2(8-1) \\ =5+2\times7 \\ =5+14 \\ =\ 19 \end{gathered}$

Number of tickets that can be bought for $15

$\begin{gathered} A(r)=5+2(r-1) \\ 15=5+2(r-1) \\ 15-5=2(r-1) \\ 10=2(r-1) \\ r-1=\frac{10}{2} \\ r=5+1 \\ r=6 \end{gathered}$

6 raffle tickets can be bought with $15.