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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.

Respuesta :

AliNoorullah2
Variable:
x= # of pages 
Alejandro: 
1 (x)=28
Carly:
2 (x)=12
Hope this helps!!!

Answer:

[tex]f(t)=t[/tex] Alejandro.

[tex]f(t)=2t[/tex] 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: [tex]1\frac{page}{min}[/tex]

Carly: [tex]2\frac{page}{min}[/tex]

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

Alejandros' function:

[tex]y-28=1(x-28)\\ y=x-28+28\\y=x \ or \ f(t)=t[/tex]

Carly's function:

[tex]y-12=2(x-6)\\ y=2x-12+12\\y=2x \ or \ f(t)=2t[/tex]

Therefore, the relations are:

[tex]f(t)=t[/tex] Alejandro.

[tex]f(t)=2t[/tex] Carly.

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