Question

YOUR MISSION: Create and solve a linear equation based on a real-world problem on any media of your choice (e.g. poster board, computer, etc). Make sure you only have 1 variable (let's say X), but this variable can be used multiple times throughout the equation. For example, 2(X + 1) = 3X + 5-1X

Note: A constant is a number that is standing all by itself as its own term. For example, in 2X+1=5, the constants are 1 and 5. A coefficient is the number attached to the left of the variable, also known as in front of the variable. For example, in 2X +1 =5, the coefficient is 2.​

Answer 1

Here is an example linear equation based on a real-world problem:

A company wants to increase its sales by $5,000 per month by selling more products. The company knows that each product they sell generates $10 in revenue. They want to find out how many products they need to sell to reach their goal.

Let X be the number of products the company needs to sell.

The equation representing the situation is:

10X = 5000 + 10X

To solve for X, we'll simplify the equation as follows:

0 = 5000

X = 5000 / 10

X = 500

So the company needs to sell 500 products to reach their goal of increasing sales by $5,000 per month.