"Write a real-world problem that you can model with the two-step equation 5x+7=10. Then solve the problem."
I understand that the answer is 0.60, but how would I put this in a real-world situation?
Maybe for area and perimeter of a patio you want to build...
To create a real-world problem that can be modeled using the two-step equation 5x + 7 = 10, let's imagine a scenario where you have some money and you want to buy an item. Here's an example:
Sarah wants to buy a new pair of shoes. However, the shoes she likes are on sale, but they still cost $10. She already has $7 saved up, and she wants to find out how much more money she needs to save to afford the shoes. Let's use the equation 5x + 7 = 10 to represent this situation.
To solve the problem, we can start by isolating the variable, x, to one side of the equation. We can do this by subtracting 7 from both sides of the equation:
5x + 7 - 7 = 10 - 7
5x = 3
Next, to solve for x, we divide both sides of the equation by 5:
5x/5 = 3/5
x = 0.6
Therefore, Sarah still needs to save $0.60 to be able to afford the shoes she wants.
In summary, the real-world problem represented by the equation 5x + 7 = 10 is that Sarah wants to buy a pair of $10 shoes but already has $7 saved up. She needs to find out how much more money she needs to save, and the solution is $0.60.