I need to write a mathematical story problem for this equation: 1/2(4x+8)=15 Can you help??

Question

I need to write a mathematical story problem for this equation: 1/2(4x+8)=15

 

The equation can be simplify to 2x+4=15

 

Can anyone help??

Answer 1

You could say the 8 equals fixed costs of a project, while the 4x is the variable costs, with 4 representing the hourly rate (pretty inexpensive world; can you change the scale of the problem by adding 0s to the 4, 8 and the 15?). You are hiring two people for your project and will pay them equally. You don't want the cost to exceed 30 (or 15 per person). So you multiply by 1/2 to do that. X is the hourly rate you can pay and stay under your budget.

Answer 2

Since you're dealing with a linear equation, the slope will represent a constant rate of change, and the y-intercept will represent the starting value. Think of a situation that will involve these elements.

 

Then you need to figure out what the 1/2 will represent and the 15. It will be dependent on your initial situation. Remember, you could have also rewritten the initial equation as 4x + 8 = 30 as well.