We will investigate how to determine the rate at which Hector reads pages.
Hector is known to read a total number of pages ( P ) in a given amount of time ( t ). The variables can be defined as follows:
![\begin{gathered} P\text{ = 735 pages} \\ t\text{ = 28 days} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f27jikt3z9p7hl886i0hj7gwcd4uqvcg51.png)
We will now determine the rate at which Hector reads in a day. This ratio can be mathematically expressed as follows:
![\text{Rate = }(P)/(t)](https://img.qammunity.org/2023/formulas/mathematics/college/zop2w01dqq9ai48dtufwt4z2phwbg3vx1p.png)
The above rate at which Hector reads pages in a day is defined as a ratio of total number or pages that he reads over a certain time period.
We can evaluate the rate as follows:
![\begin{gathered} \text{Rate = }(735)/(28) \\ \\ \text{Rate = 26.25 }(pages)/(day) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lqqnv0cmmnos8jbkpmnw4utsjyzo8ipm3n.png)
Therefore, Hector reads:
![26.25\text{ pages per day for 28 days}](https://img.qammunity.org/2023/formulas/mathematics/college/x52kse92blyi2lzxu40z8ysje9sjpvzh6r.png)