Question

Use a table to find the solution to the situation.Sam needs a web designer. Designer A is offering her services for an initial $460 in addition to $100 perhour. Designer B is offering her services for an initial $570 in addition to $45 per hour. When will the twodesigners charge the same amount of money?The two designers will charge the same amount of money afterhours.

Answer 1

The two designers will charge the same amount of money after 2 hours.

Step-by-step 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.