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 systematically:

### 1. **Rice Production**
If a farmer plants 100 rice plants, and each plant produces 5 rice grains, the total number of rice grains can be calculated as follows:

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

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

### 2. **Wage/Salary of Workers**
A rice field worker earns 300 pesos for a day of work. To find out how much he earns for 5 days of work, we calculate:

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

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

### 3. **Demand and Supply of Agricultural Products**
Let's solve the problem using the rational function \( R(x) = \frac{P(x)}{Q(x)} \).

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

The rational function representing the remaining demand (i.e., how many more bananas are needed) is:

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

So, the market needs **\(\frac{1}{3}\)** times the current supply to meet the demand, which is equivalent to 500 more bananas.

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

#### Here are 5 related questions:
1. If each rice plant produced 8 grains instead of 5, how many grains would 100 plants produce?
2. How much would a worker earn in 7 days at a rate of 300 pesos per day?
3. If the supply of bananas increased to 2,500 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 produced if he can only plant 100 plants?

**Tip:** Always check your units when solving real-world problems to ensure that your calculations make sense in context!

Explore the mathematics behind rice production and agricultural economics. Calculate the total rice grains produced by 100 plants, and determine a worker's earnings based on daily wages and days worked. Solve rational functions related to banana demand and supply.

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