a student budgets $25 for his cellphone each month. he pays $10 for the service and $0.05 per minute.he knows that his budget can be off by $5 in either direction. What is the maximum and minimum number of minutes? Write an absolute value equation representing this situation.
The answer I got is |10+0.05-25|=5
Is this correct. plz help
To find the maximum and minimum number of minutes, we can set up two equations.
Let's assume the maximum number of minutes the student can use is "x" and the minimum number of minutes is "y."
The equation for the maximum number of minutes can be expressed as:
10 + 0.05x = 25
The equation for the minimum number of minutes can be expressed as:
10 + 0.05y = 25
To represent the situation with an absolute value equation, you can subtract $25 from both sides of the equations:
10 + 0.05x - 25 = 0
10 + 0.05y - 25 = 0
Now, let's simplify these equations:
0.05x - 15 = 0
0.05y - 15 = 0
To express these equations as an absolute value equation, you need to take the absolute value of both sides:
|0.05x - 15| = 0
|0.05y - 15| = 0
However, it seems you made an error in your calculation. The correct equation for this situation should be:
|0.05x - 25| = 5
This equation represents that the difference between the amount spent on his cellphone and his budget is $5. The absolute value function ensures that we consider both positive and negative differences.
To solve this equation and find the maximum and minimum number of minutes, you can set up two separate equations:
0.05x - 25 = 5 (for the maximum)
0.05x - 25 = -5 (for the minimum)
Solving these equations will give you the maximum and minimum number of minutes the student can use each month.