this activity will enable you to solve more word problems in involving linear functions.•Directions:Solve the following.show your complete solutions.•CHECK YOUR UNDERSTANDING:solve the following.Write your solutions.thank youu ActivitiesThis activity will enable you to solve more word problems involving linear functions.Directions: Solve the following. Show your complete solutions on a separate sheet of paper.1. You are working as a car dealer that pays you a monthly salary of Php17 000. The companywill also pay you Php3000 in commission for every car you sell.a. Determine the function that will illustrate the situation.b. How many cars must you sell to earn Php32 000?c. If you sell 3 cars in June, how much will you earn?2. Jason opened a savings account with Php550 initial deposit. Each month after he pays hisbills, he will have Php300 left over to make a deposit.a. Write a function for the given problem.b. How many months will it take him to have Php3250 savings?c. If Jason withdraw Php 2300 after 2 years of saving, how much will he have left?3. Ben collected 12 kilograms of plastic bottles to recycle for his school project. He plans tocollect an additional 4 kilograms each week.a. What is the relation of y (total collected bottles) and x (number of weeks)?b. How many kilograms of plastic bottles will Ben have after 49 days?c. How long will it take him to collect 60 kilograms of plastic bottle?4. The pollution level in the center of a city at 4 am is 22 parts per million and it grows in linearfashion by 19 parts per million every hour. If y is pollution and t is time elapsed after 4 am,a. Determine the equation that relates y with t.b. What is the pollution level at 2:30 pm?5. Miko charges Php100 for his xbox rental plus additional Php25 every hour. If Ray paysPhp206.25, how many hours did he rent the xbox? Check your UnderstandingSolve the following. Write your solutions on a separate sheet of paper.1. A private organization distributed 5-kilo rice packs to a certain barangay placed underspecial lockdown due to COVID 19. If the rice sells at P40 per kilogram, how much did theorganization spent if a total of 125 rice packs of rice was given?2. An express delivery driver earns P500 daily for an eight-hour shift and an additional P35 forevery hour after that. Generate a function to solve his total earnings.3. A computer shop charges P15 for the first hour and P10 for the succeeding hours. If Jacobpays P45, how many hours did he rent the computer?4. Ichan bought a car, he puts Php25 000 down payment and make monthly payment of Php12000. If his car cost Php 457 000, how many years will it take him to pay it off?5. Riza earns Php90 an hour in a toy factory with an additional of Php45 for her daily mealallowance. On a Tuesday she earned a total of Php585, how many hours did she work forthat day?

Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

1. You are working as a car dealer that pays you a monthly salary of Php17 000. The company will also pay you Php3000 in commission for every car you sell. a. Determine the function that will illustrate the situation. b. How many cars must you sell to earn Php32 000? c. If you sell 3 cars in June, how much will you earn?

1. You are working as a car dealer that pays you a monthly salary of Php17 000. The company will also pay you Php3000 in commission for every car you sell. a. Determine the function that will illustrate the situation. b. How many cars must you sell to earn Php32 000? c. If you sell 3 cars in June, how much will you earn?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

this activity will enable you to solve more word problems in involving linear functions.

•Directions:Solve the following.show your complete solutions.

•CHECK YOUR UNDERSTANDING:solve the following.Write your solutions.

thank youu

Activities
This activity will enable you to solve more word problems involving linear functions.
Directions: Solve the following. Show your complete solutions on a separate sheet of paper.
1. You are working as a car dealer that pays you a monthly salary of Php17 000. The company
will also pay you Php3000 in commission for every car you sell.
a. Determine the function that will illustrate the situation.
b. How many cars must you sell to earn Php32 000?
c. If you sell 3 cars in June, how much will you earn?
2. Jason opened a savings account with Php550 initial deposit. Each month after he pays his
bills, he will have Php300 left over to make a deposit.
a. Write a function for the given problem.
b. How many months will it take him to have Php3250 savings?
c. If Jason withdraw Php 2300 after 2 years of saving, how much will he have left?
3. Ben collected 12 kilograms of plastic bottles to recycle for his school project. He plans to
collect an additional 4 kilograms each week.
a. What is the relation of y (total collected bottles) and x (number of weeks)?
b. How many kilograms of plastic bottles will Ben have after 49 days?
c. How long will it take him to collect 60 kilograms of plastic bottle?
4. The pollution level in the center of a city at 4 am is 22 parts per million and it grows in linear
fashion by 19 parts per million every hour. If y is pollution and t is time elapsed after 4 am,
a. Determine the equation that relates y with t.
b. What is the pollution level at 2:30 pm?
5. Miko charges Php100 for his xbox rental plus additional Php25 every hour. If Ray pays
Php206.25, how many hours did he rent the xbox?

Check your Understanding
Solve the following. Write your solutions on a separate sheet of paper.
1. A private organization distributed 5-kilo rice packs to a certain barangay placed under
special lockdown due to COVID 19. If the rice sells at P40 per kilogram, how much did the
organization spent if a total of 125 rice packs of rice was given?
2. An express delivery driver earns P500 daily for an eight-hour shift and an additional P35 for
every hour after that. Generate a function to solve his total earnings.
3. A computer shop charges P15 for the first hour and P10 for the succeeding hours. If Jacob
pays P45, how many hours did he rent the computer?
4. Ichan bought a car, he puts Php25 000 down payment and make monthly payment of Php12
000. If his car cost Php 457 000, how many years will it take him to pay it off?
5. Riza earns Php90 an hour in a toy factory with an additional of Php45 for her daily meal
allowance. On a Tuesday she earned a total of Php585, how many hours did she work for
that day?

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