Monica already has 4 plants in her backyard, and she can also grow 1 plant with every seed packet she uses. How many seed packets does Monica need to have a total of 82 plants in her backyard?
Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
![**Understanding Linear Equations: Word Problem Example**
In this example, we are using a simple linear equation to solve a problem about growing plants in Monica's backyard. Here is the problem presented:
**Problem Statement:**
Monica already has 4 plants in her backyard, and she can also grow 1 plant with every seed packet she uses. How many seed packets does Monica need to have a total of 82 plants in her backyard?
**Input Area:**
- [ ] seed packets
**Solution:**
To find the solution, we can set up the equation based on the given information. Let \( x \) be the number of seed packets Monica needs.
We know:
- Monica already has 4 plants.
- Each seed packet grows 1 plant.
- She wants a total of 82 plants.
The equation representing this situation is:
\[ 4 + x = 82 \]
To solve for \( x \):
1. Subtract 4 from both sides to isolate \( x \):
\[ x = 82 - 4 \]
\[ x = 78 \]
Monica needs 78 seed packets to have a total of 82 plants in her backyard.
**Interactive Component:**
Input your answer in the box above and click "Submit" to check if you've arrived at the correct result.
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This interactive example will help you understand how to set up and solve linear equations involving real-life scenarios.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F918e56c3-ed1a-4f40-abff-1914451c3c41%2F6dc9afeb-7cc5-4498-8087-dc693e7c16ed%2Fg8rex5_processed.jpeg&w=3840&q=75)
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