Solution
Problem 1:
- Kelsie pays a one-time fee for the equipment of $5.00. This is a fixed cost that never changes and is paid just once.
- Kelsie pays $18.99 for each hour (h). This means that
For 1 hour, Kelsie pays $18.99 * 1 = $18.99
For 2 hours, Kelsie pays $18.99 * 2
For 3 hours, Kelsie pays $18.99 * 3
And so on...
- We can generalize this for h hours. That is,
For h hours, Kelsie pays $18.99 * h
- Thus, Kelsie pays $18.99h after h hours separate from the initial fee of $5.00.
- Thus, her total cost would be the addition of the flat fee of $5.00 and the cost of playing for h hours. That is:
[tex]\begin{gathered} Total\text{ Cost}(A)=18.99h+5 \\ where, \\ h=\text{ Number of hours elapsed} \end{gathered}[/tex]Problem 2:
- Jayson pays $35 per hour with no initial flat fee.
- Following the same logic as in the case of Kelsie, we can write the total cost incurred by Jayson after h hours is:
[tex]Total\text{ Cost\lparen P\rparen}=35h[/tex]Final Answer
The answers are:
Problem 1:
[tex]A=18.99h+5[/tex]Problem 2:
[tex]P=35h[/tex]