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?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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?
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