Rice Production

If a farmer plants 100 rice plants, and each plant produces 5 rice grains, how many rice grains does he get in total?

Wage/Salary of Workers

A rice field worker earns 300 pesos for a day of work. How much does he earn if he works for 5 days?

Demand and Supply of Agricultural Products

If the demand for bananas in a market is 2,000 pieces and they have 1,500 pieces, how many more do they need to meet the demand?     SOLVE THIS IN RATIONAL FUNCTION FORM R(X) = P(X)/Q(X)

Let's address each part of your query:

### 1. **Rice Production**
To calculate the total number of rice grains produced:

\[
\text{Total Rice Grains} = \text{Number of Plants} \times \text{Grains per Plant} = 100 \times 5 = 500
\]

So, the farmer gets **500 rice grains** in total.

### 2. **Wage/Salary of Workers**
To calculate the total earnings of the worker:

\[
\text{Total Earnings} = \text{Daily Wage} \times \text{Number of Days} = 300 \times 5 = 1500
\]

The worker earns **1,500 pesos** after 5 days of work.

### 3. **Demand and Supply of Agricultural Products**

We need to express the difference between demand and supply in the form of a rational function \( R(x) \).

- \( P(x) \): Represents the demand for bananas, which is 2,000 pieces.
- \( Q(x) \): Represents the supply of bananas, which is 1,500 pieces.

The difference between demand and supply is \( P(x) - Q(x) \):

\[
\text{Remaining Demand} = P(x) - Q(x) = 2000 - 1500 = 500
\]

The rational function \( R(x) \) can be expressed as:

\[
R(x) = \frac{P(x) - Q(x)}{Q(x)} = \frac{2000 - 1500}{1500} = \frac{500}{1500} = \frac{1}{3}
\]

This indicates that the market needs an additional **\(\frac{1}{3}\)** times the current supply to meet the demand, which equates to 500 more bananas.

### Do you want more details or have any questions?

#### Here are 5 related questions:
1. What if the farmer plants 200 rice plants instead of 100, how many grains will he get in total?
2. How much does a worker earn in 7 days at a rate of 300 pesos per day?
3. If the supply of bananas increased to 2,000 pieces, how would the rational function \( R(x) \) change?
4. What if the demand for bananas decreased to 1,800 pieces? How many more would they need to meet this new demand?
5. How can the farmer increase the total number of rice grains if he can only plant 100 plants?

**Tip:** Rational functions are very useful in representing relationships where two quantities are compared, such as in demand and supply scenarios.

Explore solutions to mathematical problems in rice production, worker earnings, and agricultural demand. Calculate rice grains per plant, total worker earnings over multiple days, and rational functions for agricultural supply and demand scenarios. Suitable for Grades 4-6 students learning basic multiplication, subtraction, and rational functions.

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