Answer: This problem can be represented by the equation y = mx + b, where y is the total charges, x is the number of days, m is the charge per day, and b is the flat fee.
To find the values of m and b, we can use the given data points to solve for the equation.
For x = 2, y = 8, so 8 = m * 2 + b
For x = 4, y = 13, so 13 = m * 4 + b
For x = 6, y = 18, so 18 = m * 6 + b
We can then use a system of equations to solve for m and b:
m * 2 + b = 8
m * 4 + b = 13
m * 6 + b = 18
Using substitution or elimination methods:
m = 2
b = 2
Therefore, the equation is: y = 2x + 2
This means that the flat fee is $2 and the charge per day is $2.
Explanation: