Now, that you have gained skills in representing and solving real–life
situations involving inverse functions, try to sharpen your skills by working on the
task below.
Additional Activities
John pays an amount
₱12.00 per hour for using the internet at Cyber Cafe. During
Saturdays and Sundays, he enjoys and spends most of his time playing online games
with his friends. The maximum number of hours he spend at Cyber Caf
é ever weekend
is 4 hours.
(a) How much will John pay for using the internet for 1 hour? 2 hours? 3 hours? 4 hours?
(b) Make a table of values.
(c) Write a function that relates that amount spend and the
time consumed. (d) Find the inverse of the functio
n in item 2.
(e) If John has decided not to play the game in the internet café this weekend,
what is the maximum amount that he would have saved?
Answers
Step-by-step explanation:
Now, that you have gained skills in representing and solving real–life
situations involving inverse functions, try to sharpen your skills by working on the
task below.
Additional Activities
John pays an amount
₱12.00 per hour for using the internet at Cyber Cafe. During
Saturdays and Sundays, he enjoys and spends most of his time playing online games
with his friends. The maximum number of hours he spend at Cyber Caf
é ever weekend
is 4 hours.
(a) How much will John pay for using the internet for 1 hour? 2 hours? 3 hours? 4 hours?
(b) Make a table of values.
(c) Write a function that relates that amount spend and the
time consumed. (d) Find the inverse of the functio
n in item 2.
(e) If John has decided not to play the game in the internet café this weekend,
what is the maximum amount that he would have saved?
The answers to the given questions are given below:
(a) For every hour, John pays Rs. 12 per hour. Then, the amount to be paid for 1 hour, 2 hours, 3 hours and 4 hours will be Rs. 12, 24, 36 and 48 respectively.
(b) You can easily make a table by drawing two columns with one for hours and another one for values.
(c) The function that relates to the amount spent and the time consumed will be f(x) = 12x where x is the time consumed and 12x is the amount spent.
(d) The inverse of the function will be 1/12x.
(e) If John has decided not to play the games on the weekend then the maximum amount saved will be Rs. 96. ( Because the maximum hours spent on every weekend will be 4 hours and the weekends are Saturdays and Sundays. So, there will be two days, with 4 hours on each day and Rs. 48 per day.)