I would use the ceiling function:
I'm having issues remembering how to create cost functions:
For a long-distance phone call, a hotel charges $9.89 for the first minute and $0.90 for each additional minute or fraction thereof. A formula for the cost is given below, where t is the time in minutes
So the function is ?
C(t)=9.89-0.90[[-(t-1)]]
Do I just distribute that out?
Use a graphing utility to graph the cost function for 0 < t ≤ 5.
How do I set the paramaters for this requirement to graph this on my calculator ?
I would use the ceiling function:
Hello, Jerry99!
That cost function is scary . . .
For a long-distance phone call, a hotel charges $9.89 for the first minute
and $0.90 for each additional minute or fraction thereof.
A formula for the cost is given below, where is the time in minutes
So the function is ?
C(t) = 9.89 - 0.90[[-(t-1)]] . Weird!
Use a graphing utility to graph the cost function for 0 < t ≤ 5.
How do I set the paramaters for this requirement to graph this on my calculator?
The hotel charges $9.89 for the first minute.
It charges $0.90 per minute for the other minutes.
The "or fraction thereof" means that they will round up when a fraction is involved.
. . Hence, the remaining time is minutes (ceiling function).
The cost is: .
The graph looks like this.
Code:| $13.49 + o=====♠ | : : | : : $12.59 + o=====♠ : | : : : | : : : $11.69 + o=====♠ : : | : : : : | : : : : $10.79 + o=====♠ : : : | : : : : : | : : : : : $9.89 o=====♠ : : : : | : : : : : | : : : : : | : : : : : - - * - - + - - + - - + - - + - - + - - 0 1 2 3 4 5 minutes