Question

For parts (a) and (b) below, choose the correct description.Fill in the blanks as necessary.(a) A certain arcade game gives players tickets. The table below shows thenumber of tickets a player gets for the number of points.Tickets122445Points249Each point does not always give the same number of tickets.O Each point appears to give the same number of tickets.Predi

Answer 1

a)

Each point does not always give the same number of tickets

b)

The price for each pound of Tuna appears to be the same

9 pounds

Step-by-step explanation:

a) We are given the following:

For 2 points, you are given 12 tickets

For 4 points, you are given 24 tickets

For 9 points, you are given 45 tickets

We want to know if each point gives the same number of tickets as shown below using ratios:

`\begin{gathered} (2)/(12)=(4)/(24)=(9)/(45) \\ \text{Reducing this to its unit form, we have:} \\ (1)/(6)=(1)/(6)=(1)/(5) \\ \Rightarrow(1)/(6)=(1)/(6)\\e(1)/(5) \\ \\ \therefore(1)/(6)=(1)/(6)\\e(1)/(5) \end{gathered}`

This means that each point does not always give the same number of tickets

The predicted number of tickets for getting 10 points cannot be obtained

b) We are given the following:

For $8, you are given 2 pounds of Tuna

For $24, you are given 6 pounds of Tuna

For $28, you are given 7 pounds of Tuna

We want to find out if the prices of the Tuna are proportional. This is shown below using their ratios:

`\begin{gathered} (8)/(2)=(24)/(6)=(28)/(7) \\ \text{Reducing this to its unit form, we have:} \\ (4)/(1)=(4)/(1)=(4)/(1) \\ \Rightarrow(4)/(1)=(4)/(1)=(4)/(1) \\ \\ \therefore(4)/(1)=(4)/(1)=(4)/(1) \end{gathered}`

Therefore, The price for each pound of Tuna appears to be the same

The predicted amount of Tuna that sells for $36 is given by:

`\begin{gathered} (28)/(7)=(36)/(x) \\ \text{Cross multiply, we have:} \\ 28x=36*7 \\ \text{Divide both sides by ''28'' to obtain the value of ''x'', we have:} \\ x=(36*7)/(28) \\ x=9 \\ \\ \therefore x=9 \end{gathered}`

Hence, for $36, one gets 9 pounds of Tuna