Answer:
The minimum total distance the employee may have driven before getting stuck in traffic is 8.3 miles
Step-by-step explanation:
* Lets explain how to solve the problem
- The rule of the distance between to points
and i s
- So at first we will find the distance between the three points
∵ A = (-3 , 1) , B = (3 , 3) , C = (3 , -1)
- By using the rule of distance
∴
∴
∴
∵ Each unit coordinate plane represents 1 mile
∵ AB = 6.3 units
∴ The distance between branches A and B = 6.325 miles
∵ BC = 4 units
∴ The distance between branches B and C = 4 miles
∵ AC = 6.3 units
∴ The distance between branches A and C = 6.325 miles
- A bank employee drives from Branch A to Branch B and then
drives halfway to Branch C before getting stuck in traffic
∵ The distance from branch A to branch B is 6.325 miles
∵ The distance from branch B to branch C is 4 miles
∵ The half way from branch B to branch C = 1/2 × 4 = 2 miles
∴ The distance the employee may have driven before getting
stuck in traffic = 6.325 + 2 = 8.325 miles
∴ The minimum total distance the employee may have driven
before getting stuck in traffic is 8.3 miles