Question

10. Joylynn loves to read. Joylynn reads about 5 pages in 12 minutes. Use the table below to find the missing value. Pages Minutes 5 12 10 24 15 36 18 46 20 48 25 60

Answer 1

If Joylynn reads 30 pages, it would take her approximately 72 minutes based on the consistent ratio.

To find the missing values in the table, let's analyze the relationship between the number of pages read and the corresponding time taken. From the given data, we can observe that the ratio of pages to minutes is constant. This ratio can be calculated by dividing the number of pages by the time in minutes.

`\[\text{Ratio} = \frac{\text{Number of Pages}}{\text{Minutes}}\]`

In this case, the ratio is
`\( (5)/(12) \)`for the first data point. We can use this ratio to find the missing values:

\[

\begin{align*}

`\text{Pages} & \quad \text{Minutes} \\`

`5 & \quad 12 \\`

`10 & \quad 24 \\`

`15 & \quad 36 \\`

`18 & \quad 46 \\`

`20 & \quad 48 \\`

`25 & \quad 60 \\`

\end{align*}

\]

Let's check the consistency of the ratio:

\[

\begin{align*}

`(10)/(24) & = (5)/(12) \\`

`(15)/(36) & = (5)/(12) \\`

`(18)/(46) & \approx (5)/(12) \, \text{(rounded)} \\`

`(20)/(48) & \approx (5)/(12) \, \text{(rounded)} \\`

`(25)/(60) & = (5)/(12) \\`

\end{align*}

\]

The ratio remains consistent. Now, to find the missing values:

\begin{align*}

`\text{Pages} & \quad \text{Minutes} \\`

`5 & \quad 12 \\`

`10 & \quad 24 \\`

`15 & \quad 36 \\`

`18 & \quad 46 \\`

`20 & \quad 48 \\`

`25 & \quad 60 \\`

`30 & \quad 72 \, \text{(extrapolated)} \\\end{align*}`