Activity Proper General Directions: In answering the exercises in the Learning Activity Sheet (LAS), please be reminded not to write anything here. All answers must be written in a separate sheet of paper. Read each problem carefully and answer it systematically. If solution is required, encircle your final answer. Activity 1 on Functions and Piecewise Functions: A. Direction: Represent a function for the following scenarios. 1. As an English tutor, the rate per hour is at P50. Represent the salary using the function S(h) where h is the number of hours worked. 2. Santos family allocates P2,000 as food budget for each member of their family in a month. Express the total monthly food budget using the function B(n) where n is the number of family members. 3. A chat agent working in a call center can encode 1,000 words in every hour. Write the total words Was a function of the x number of hours rendered by the said agent.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Numbers 1 and 3 pls Activity 1
2. In an experiment, a researcher has concluded that a dosage of g grams of a
certain medicinal fomula causes a rat to increase its mass M in grams. Using
the function M(g) = 2(g + 25), how much mass would a rat gain if 30 grams
of the medicinal formula is administered to it?
Solution:
la 25) – 220 25)– 2(5E).
110
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expense is at P1,250. Construct a monthly profit function P for the x number
of cakes baked. How much is her profit if 20 cakes were sold in a month?
Solution:
P(x) = 525x - 1, 250
P(20) = 525 (20) – 1, 250 = 9, 250
Thus, Julia's profit after selling 20 cakes in a month is P9,250.
I.
Activity Proper
General Directions: In answering the exercises in the Learning Activity Sheet
(LAS), please be reminded not to write anything here. All answers must be written
in a separate sheet of paper. Read each problem carefully and answer it
systematically. If solution is required, encircle your final answer.
Activity 1 on Functions and Piecewise Functions:
A. Direction: Represent a function for the following scenarios.
1. As an English tutor, the rate per hour is at P50. Represent the salary using the
function S(h) where h is the number of hours worked.
2. Santos family allocates P2,000 as food budget for each member of their family
in a month. Express the total monthly food budget using the function B(n) where n
is the number of family members.
3. A chat agent working in a call center can encode 1,000 words in every hor.
Write the total words Was a function of the x number of hours rendered by the said
agent.
B. Direction: Fill in the missing terms to show the piecewise function of the problem.
1. A parking fee at Lopue's San Sebastian is at P30 for the first two hours and an
extra P10 for each hour of extension. If you park for more than 12 hours, you instead
pay a flat rate of P150. Represent the parking fee using the function P(t) where t is
the number of hours you parked at Lopues San Sebastian.
30
if
if
if t> 12
P (t) =30 + 10t
2. Villa Iska Resort at Punta Taytay Bacolod City charges P1,800 for the first 22
hours of overnight stay in their Standard Airconditoned Rooms. There will be a
charge of P100 per hour for the extra hours of room use. Use the function C(h) as
the charge for the h number of hours.
C (h) =
if 0 <h s 22
if h > 22
3. A certain chocolate bar costs P45 per piece. However, if you buy more than 20
pieces, it will be marked down to a price of P40 per piece. Utilize the function c(x)
as the cost for the x number of chocolate bars.
if
c (x) =
Activity 2 on Evaluating Functions:
Diroction: Solve the folloning
Transcribed Image Text:2. In an experiment, a researcher has concluded that a dosage of g grams of a certain medicinal fomula causes a rat to increase its mass M in grams. Using the function M(g) = 2(g + 25), how much mass would a rat gain if 30 grams of the medicinal formula is administered to it? Solution: la 25) – 220 25)– 2(5E). 110 Directly edit text and image in PDF Edit expense is at P1,250. Construct a monthly profit function P for the x number of cakes baked. How much is her profit if 20 cakes were sold in a month? Solution: P(x) = 525x - 1, 250 P(20) = 525 (20) – 1, 250 = 9, 250 Thus, Julia's profit after selling 20 cakes in a month is P9,250. I. Activity Proper General Directions: In answering the exercises in the Learning Activity Sheet (LAS), please be reminded not to write anything here. All answers must be written in a separate sheet of paper. Read each problem carefully and answer it systematically. If solution is required, encircle your final answer. Activity 1 on Functions and Piecewise Functions: A. Direction: Represent a function for the following scenarios. 1. As an English tutor, the rate per hour is at P50. Represent the salary using the function S(h) where h is the number of hours worked. 2. Santos family allocates P2,000 as food budget for each member of their family in a month. Express the total monthly food budget using the function B(n) where n is the number of family members. 3. A chat agent working in a call center can encode 1,000 words in every hor. Write the total words Was a function of the x number of hours rendered by the said agent. B. Direction: Fill in the missing terms to show the piecewise function of the problem. 1. A parking fee at Lopue's San Sebastian is at P30 for the first two hours and an extra P10 for each hour of extension. If you park for more than 12 hours, you instead pay a flat rate of P150. Represent the parking fee using the function P(t) where t is the number of hours you parked at Lopues San Sebastian. 30 if if if t> 12 P (t) =30 + 10t 2. Villa Iska Resort at Punta Taytay Bacolod City charges P1,800 for the first 22 hours of overnight stay in their Standard Airconditoned Rooms. There will be a charge of P100 per hour for the extra hours of room use. Use the function C(h) as the charge for the h number of hours. C (h) = if 0 <h s 22 if h > 22 3. A certain chocolate bar costs P45 per piece. However, if you buy more than 20 pieces, it will be marked down to a price of P40 per piece. Utilize the function c(x) as the cost for the x number of chocolate bars. if c (x) = Activity 2 on Evaluating Functions: Diroction: Solve the folloning
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