Answer:
The time allotted is 46 minutes for an annual checkup and 29 minutes for a sick visit
Step-by-step explanation:
System of Equations
It's required to write and solve a system of equations to model the situation of Dr. Jensen. Let's call the following variables:
x = time allotted for annual checkups
y = time allotted for sick visit
Dr. Jensen has 3 annual checkups and 1 sick visit for a total of 167 minutes on her schedule, thus:
3x + y = 167 [1]
It's also given she has 1 annual checkup and 1 sick visit on her schedule for a total of 75 minutes, thus:
x + y = 75 [2]
We'll solve the system formed by equations [1] and [2] using the elimination method.
Subtract [1] and [2]:
3x - x = 167 - 75
2x = 92
Divide by 2:
x = 46
Substitute in [2]:
46 + y = 75
Subtract 46:
y = 75 - 46 = 29
y = 29
The time allotted is 46 minutes for an annual checkup and 29 minutes for a sick visit
