Question

A computer shop charges 20 pesos per hour for first two hours and an additional 10 pesos per hour for each succeeding hour. Represent your computer rental fee using the function R(t) where t is number of hours you spent on the computer

Answer 1

Answer:

$R(t)=\left\{\begin{matrix}20t; & 0\leq t\leq 2 \\ 20+10t; & 2 < t\end{matrix}\right.$

Step-by-step explanation:

Here, t represents the number of hours spent on using the computer,

Given,

The charge is 20 peso for first  two hours,

Thus, if R(t) represents the total fee for using the computer,

$R(t)=20t$ for 0 ≤ t ≤ 2,

Also, after 2 hours the additional charges is 10 peso per hour,

For 2 hours the charges = 2 × 20 = 40 peso,

So, the charges for t hours for which t > 2,

$R(t) = 40 + 10(t-2)$

$=40+10t-20$

$=20+10t$

Hence, the required function that represents the computer rental fee is,

$R(t)=\left\{\begin{matrix}20t; & 0\leq t\leq 2 \\ 20+10t; & 2 < t\end{matrix}\right.$

Answer 2

R(t)=10t+20. This shows the first 20 pesos, and the additional 10 pesos for every hour. Hope this helps.