neon tusk
- MIKE and his friend are playing a number - guessing game. MIKE asks his
friend to think a positive number, then add four to the number. Next, square the
resulting number, and multiply the result by 3. Finally, divide the result by 2. If
you are his friend and you get a result of 50,
(a) write an inverse function that will give you the original number and
(b) determine the original number.
(c) graph
2.The SHS officers are planning for a SHS Prom. The allocated budget for decorations, sounds, and other miscellaneous expenses is ₱100,000.00 and an additional ₱1500.00 for meal expenses for each guest. The organization received an amount of ₱200,000.00 from its external
stakeholders.
a. Write the total allocated budget as a function of the number of guests.
b. Find the inverse of the function.
c. State the domain and range for this situation.
d. Find the possible number of guest for a budget of ₱200,000.00
- A Spotify Music allows member to download songs for ₱205.40 pesos each
after paying a monthly service charge of ₱782.75. The total monthly cost C(x) of the service in peso is C(x) = 782.75 + 205.40x, where x is the number of songs downloaded.
(a) Find the inverse function
(b) What do 𝑥 and 𝐶^−1(𝑥) represent in the context of the inverse function?
(c) How many songs were downloaded if a member’s monthly bill is ₱3843.75?
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