A canoe rental company charges $10 for a canoe and an additional charge per person. there are 4 people going on trip and they have planned on spending total of $50. They hope that the total cost is within $20 of the planned spending total.what is the maximum and minimum they can be charged per person? This is an absolute value equation problem.
To find the maximum and minimum amount they can be charged per person, we need to set up an absolute value equation.
Let's assume the additional charge per person is x dollars.
The total cost will then be:
10 (canoe charge) + 4x (charge per person) = total cost
From the given information, we can set up the equation:
10 + 4x = 50 ± 20
To find the maximum, we use the positive value in the equation:
10 + 4x = 50 + 20
Simplifying the equation, we have:
4x = 70
Dividing both sides by 4:
x = 17.5
So, the maximum they can be charged per person is $17.50.
Next, to find the minimum, we use the negative value in the equation:
10 + 4x = 50 - 20
Simplifying the equation, we have:
4x = 30
Dividing both sides by 4:
x = 7.5
So, the minimum they can be charged per person is $7.50.
Therefore, the maximum they can be charged per person is $17.50, and the minimum they can be charged per person is $7.50.