Peter played his favorite video game for 10 hours last week. Today Peter's parents restricted him to 5 hours a week for the next 8 weeks.

Create a function, f(x), that models Peters total video game time and explain what each number in the situation represents, using complete sentences.

Question

Peter played his favorite video game for 10 hours last week.  Today Peter's parents restricted him to 5 hours a week for the next 8 weeks.  

Create a function, f(x), that models Peters total video game time and explain what each number in the situation represents, using complete sentences.

lucaz · Answer

i guess it could be f(x)=8x+10
x as the hours from 0 to 5 = the domain is [0,5]

lucaz · Answer

I'm not sure

anonymous · Answer

It looks right.  Is there any way to be sure?

lucaz · Answer

well, I don't know =/ but at least the function makes sense

anonymous · Answer

haha well yeah.  Thanks for your help, you mind helping with another question?

lucaz · Answer

yea

anonymous · Answer

Marie is logging the number of radioactive isotopes she observes every minute.  She has determined to function to be f(x) = -4x + 120.

Based on the situation above, describe any necessary restrictions to the domain and range.

Thanks :)

lucaz · Answer

it seems f(x) must be positive, is that right?

anonymous · Answer

Yeah

lucaz · Answer

positive or greater than/equal to 0 -4x+120>=0 -4x>=-120 4x<=120 x<=30 domain would be (-∞,30] range [0,∞)

anonymous · Answer

Great thanks man :)

lucaz · Answer

sorry, but I don't know again if it's right =/

anonymous · Answer

Well, it looks ok to me

lucaz · Answer

hope so =P