Question

Select the correct answer.The given table shows the number of customers, c(x), in a diner when the diner has been open for x minutes.

Answer 1

Step 1

Consider, the given table and the options to select the supporting statement

`\begin{gathered} Option\text{ 1} \\ \text{ The maximum number of customers in the diner is 50 and not 60.} \\ \text{Option 1 is wrong} \end{gathered}`
`\begin{gathered} \text{Option 2} \\ \text{The number of customers at the dinner is increasing on the interval (75,105).} \\ \text{This is false too} \end{gathered}`
`\begin{gathered} \text{Option 3} \\ The\text{ maxi}mum\text{ number of customers in the diner is 105} \\ \text{The maximum number is 60. So option 3 is wrong.} \end{gathered}`
`\begin{gathered} \text{Option 4} \\ \text{The number of customers in the diner is increasing on the interval (30,60)} \\ \text{This is true because the number of customers is increasing betwe}en\text{ 30minutes and 60 minutes} \\ \text{Hence option 4 is right.} \end{gathered}`

Hence, the statement supported by the table is that the number of customers in the diner is increasing on the interval (30,60)