Answer :
For Location A:
People already vaccinated = 10,000
Number of people vaccinated per week after new shipments arrived = 12,000
Number of people vaccinated in location A can be modelled by the Equation
N = 10,000 + 12000x
where x is the number of weeks
When x = 0, N = 10000
When x = 1, N = 10,000 + 12,000(1) = 22,000
When x = 2, N = 10,000 + 12,000(2) = 34,000
When x = 3, N = 10,000 + 12,000(3) = 46,000
When x = 4, N = 10,000 + 12,000(4) = 58,000
When x = 5, N = 10,000 + 12,000(5) = 70,000
When x = 6, N = 10,000 + 12,000(6) = 82,000
For Location B:
People already vaccinated = 40,000
Number of people vaccinated per week after new shipments arrived = 6,000
Number of people vaccinated in location B can be modelled by the Equation
N = 40,000 + 6000x
where x is the number of weeks
When x = 0, N = 40,000
When x = 1, N = 40,000+ 6000(1) = 46000
When x = 2, N = 40,000+ 6000(2) = 52,000
When x = 3, N = 40,000+ 6000(3) = 58,000
When x = 4, N = 40,000+ 6000(4) = 64,000
When x = 5, N = 40,000+ 6000(5) = 70,000
When x = 6, N = 40,000+ 6000(6) = 76,000
The table is shown below