Jasmine paid $25 for two binders and one pack of pends. The pack of pens cost $5. What is an equation you can use to find the price of each binder?
I came up with 2x+5=25. My math teacher wrote y=____x + _____.
I agree with your answer. Y = 2x + 5.
Nick
To find the price of each binder, you can set up an equation using the given information. Let's assume the cost of each binder is represented by a variable, such as 'x'.
You correctly set up the equation as 2x + 5 = 25. This equation represents the total cost Jasmine paid, which is the sum of twice the price of each binder (2x) and the cost of the pack of pens ($5), equal to $25.
To express this equation in the form y = mx + b, where 'y' represents the total cost, 'x' represents the price of each binder, 'm' represents the coefficient of 'x', and 'b' represents the y-intercept, we can rearrange the equation.
Starting with 2x + 5 = 25, let's isolate the variable 'x':
1. Subtract 5 from both sides of the equation:
2x + 5 - 5 = 25 - 5
2x = 20
2. Divide both sides of the equation by 2:
2x / 2 = 20 / 2
x = 10
Therefore, the equation to find the price of each binder can be written as y = 10x + c, where 'c' represents the constant term (y-intercept).