Question

a computer shop charges P20 per hour (or a fraction of an hour) for the first two hours and an additional 10 pesos per hour for each succeeding hour. represent your computer rental fee using function 2(t) where t is the number of hours you spent on the computer.​

Answer 1

Answer:

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Answer 2

Given:

Given that, a computer shop basically charges P20 per hour or a fraction of an hour (if he uses computer less than a hour) for the first two hours and an additional P10 per hour to be paid for each succeeding hour.

To find:

We need to represent the computer rental fee using a function $R(t)$, where $t$ is equal to the number of hours or fraction of an hour spent on the computer.​

Solution:

Let $R(t)$ be the function which represents the rental fee to be paid.

According to the question, a computer shop charges P20 per hour for the first two hours.

The function will be,

$\Rightarrow R(t) = 20t$  when  $t\leq 2$

After 2 hours, the computer shop charges additional P10 per hour.

So, the function will be,

$\Rightarrow R(t) = 10(t-2)+40$  when  $t> 2$

Here, 40 is added which is the charge for 2 hours and $10(t-2)$ represents charge for remaining hours.

Therefore the required functions are,

$R(t) = 20t$  when  $t\leq 2$

$R(t) = 10(t-2)+40$  when  $t> 2$.