Urgent Pre-cal help(college level)? linear to linear function...?

Question

Just need help with setting up the equation.....the standard form for linear to linear function is ....y = ax+b / x+c

Maude is conducting an orchestra of mice. She knows she can achieve a loudness of 80 decibels with 100 mice. With more mice, the loudness will approach, but never exceed, 120 decibels. Of course, with no mice, she achieves a loudness of 0 decibels. If the loudness of the orchestra is a linear-to-linear function of the number of mice, how many mice would she need to achieve a loudness of 110 decibels?

Thnxxxxxx

Answer 1

You will have to determine your 3 parameters a, b and c from known data. If the number of mice (x) becomes very large, the function will approach y=a, from which a=120. The other boundary (zero mice=zero noise) implies that b=0. Then the last condition would imply that c=50. Now you can solve for x when y= 110.

Answer 2

It sells 3 hundred regardless of if not something is spent so we are able to initiate with y = 3 hundred + Cx we don't understand C yet, yet for sure if we plug in x = 0, we can get y = 3 hundred. Now for each 5000 spent, we are able to upload yet another 20 units. As a ratio that's 20 units/5000 money that's the value of C that should bypass into the equation y = 3 hundred + (20/5000)x in case you plug in x = 5000, the 5000's cancel and you ultimately finally end up including 20 units. you could "simplify" the C fee from 20/5000 right into a million/250 and make the equation y = 3 hundred + x/250