Question

Last Monday, two law students met up at Cafe Literatura after school to read the pages they were assigned in the Legal Methods class. Alejandro can read 1 page per minute, and he has read 28 pages so far. Carly, who can read 2 pages per minute, has read 12 pages so far. Part A: Define the variables and write two equations o represent the number of pages that each has read.

Answer 1

`f(t)=t` Alejandro.

`f(t)=2t` Carly.

Explanation:

If we express this as a relation we could called t the time in minutes and f(t) the total number of pages. So, after t = 1 min, Alejandro read 1 page, and Carly read 2 pages. When Alejandro finishes 28 pages, the time passed is 28 min, when Carly finishes 12 pages, the times passed is 6 min.

So, we can express each speed of reading like a ratio:

Alejandro:
`1(page)/(min)`

Carly:
`2(page)/(min)`

Also, we could define a function for each of them.

Alejandros' function:

`y-28=1(x-28)\\ y=x-28+28\\y=x \ or \ f(t)=t`

Carly's function:

`y-12=2(x-6)\\ y=2x-12+12\\y=2x \ or \ f(t)=2t`

Therefore, the relations are:

`f(t)=t` Alejandro.

`f(t)=2t` Carly.