Penerapan Fungsi Komposisi dalam Masalah Kontekstual || Matematika SMA

Summary

The video explains the paper production process from wood, detailing the types of wood used and the steps in converting logs into paper. It presents a mathematical problem involving the production of paper rolls and sheets based on the amount of wood logs. The presenter demonstrates how to calculate the number of half-finished paper rolls produced from a log and how many logs are needed to produce a specific number of sheets. The content aims to make the connection between mathematics and real-world applications in the paper industry, encouraging viewers to understand and apply these concepts.

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Q & A

What types of wood are commonly used in paper production?

The commonly used types of wood for paper production are Acacia, Binuang, Jelutung, and Eucalyptus.

What is the initial process after the wood is delivered to the paper factory?

The wood is first cleaned of dirt and bark, then cut into small pieces, ideally between 7 to 45 mm in length and no more than 8 mm in thickness.

At what temperature is the wood processed to create pulp?

The wood is processed at a temperature of 170 degrees Celsius to produce pulp.

What mathematical functions are introduced in the script regarding paper production?

The script introduces two functions: f(x) = x + 4, representing the number of semi-finished paper rolls produced from x logs of wood, and g(x) = 50x, representing the total sheets of paper produced from the semi-finished rolls.

How many semi-finished paper rolls are produced from one log of wood?

One log of wood produces 5 semi-finished paper rolls, as calculated using the function f(1) = 1 + 4.

How many total sheets of paper are produced from 5 semi-finished rolls?

From 5 semi-finished rolls, 250 sheets of paper are produced, calculated using g(5) = 50 × 5.

What is the total number of sheets in 2.5 reams of paper?

In 2.5 reams of paper, there are 1250 sheets since 1 ream equals 500 sheets.

How is the number of logs needed for 2.5 reams of paper calculated?

To find the number of logs needed, the equation g(f(x)) = 1250 is set up, which simplifies to finding x such that 50(x + 4) = 1250.

What does the variable 'x' represent in the context of the calculations?

In the calculations, 'x' represents the number of logs of wood needed to produce a specified amount of paper.

What is the final result regarding the number of logs needed to produce 2.5 reams of paper?

To produce 2.5 reams of paper, 21 logs of wood are needed, as derived from the calculation x = 21.