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

Answer:

$f(t)=t$ Alejandro.

$f(t)=2t$ Carly.

Step-by-step 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: $1\frac{page}{min}$

Carly: $2\frac{page}{min}$

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.

Answer 2

Variable:
x= # of pages 
Alejandro: 
1 (x)=28
Carly:
2 (x)=12
Hope this helps!!!