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Sagot :
The two designers will charge the same amount of money after 2 hours.
Explanation:Designer A:
initial amount = $460
Amount per hour = $100
let the number of hours = y
The cost of service = (Amount per hour × y) + initial amount
The cost of service = 100× y + 460
The cost of service = 100y + 460
Designer B:
initial amount = $570
Amount per hour = $45
let the number of hours = y
The cost of service = (Amount per hour × y) + initial amount
The cost of service = 45× y + 570
The cost of service = 45y + 570
For the two designers to charge the same amount of money, we will equate the two equations:
100y + 460 = 45y + 570
100y - 45y = 570 - 460
55y = 110
55y/55 = 110/55
y = 2
The two designers will charge the same amount of money after 2 hours.
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