To determine when your business needs to hire another dog walker, we can use the given equation and the maximum hours each dog walker can work per week.
The equation y = (3/4)x + 4 represents the total number of hours worked (y) in terms of the number of weeks (x). Since there are currently two dog walkers, the equation can be modified as follows:
y = (3/4)x + 4(2)
y = (3/4)x + 8
To determine when a new dog walker is needed, we can set y equal to the total maximum number of hours that can be worked per week by the current dog walkers, which is 2 x 7 = 14 hours.
14 = (3/4)x + 8
6 = (3/4)x
x = 8
Therefore, a new dog walker will need to be hired in the 8th week. This is because in the 8th week, the total number of hours worked by the current dog walkers (y) will be equal to 14 hours, which is the maximum number of hours that can be worked per week.
It is important to note that this calculation assumes that the equation y = (3/4)x + 4 accurately represents the total number of hours worked per week by the current dog walkers, and that the median time of 30 is not relevant to this decision since it was not used in the calculation.