discussion 5

Learning Objectives

The learner will be able to:

 

• Solves problem involving variation

There are different applications of variations in various learning fields like mechanics, agriculture, and even manufacturing. Analyze the problem so you can form an equation that will represent your word problem. You can also find the constant of variation first to solve for the desired quantities.

One of the useful concepts in mathematics is about the relationship between the two variables stating that, if one of the quantities increases or decreases, the other quantity also increases or decreases. This is called variation.

 

what are the steps in solving a problem?

Steps in solving word problems:

Step 1: Identify the problem.

Step 2: Formulate an equation.

Step 3: Solve.

Step 4: Assess your answer.

 

Example 1:

During the first month of pandemic, one of the essentials that Filipino family needs is food. With this, Barangay Captain Eugene Rodriguez decided to distribute packs of rice from the emergency fund of the barangay to his constituent in order to help them in their daily needs. If 51 kilograms of rice can feed a family for 45 days, how many kilograms of rice are needed to feed the same family for 60 days?

Solution:

 

                 Step 1: Let r = the number of kilos of rice and d =number of days

 

 

Step 2: the number of kilos of rice (r) that can feed a family varies directly as the number of days (d) and r = 51 when d = 45.

Find r when d = 60

Equation: 𝑦=𝑘𝑥        r=kd

 

Step 3: 51=k(45)              solving for k

            51=45k

             51/45=k

 

             r=kd

             r=51/45(60)        solving for r

             r=68
Step 4: thus,68 kilograms of rice are needed to feed the family for 60 days.

Step 4: ₱605 is the cost of pizza with an 11 inches’ radius.