Sam needs a web designer. Designer A is offering her services for an initial $550 in addition to $120 per hour. Designer B is offering her services for an initial $660 in addition to $65 per hour. When will the two designers charge the same amount of money?

for 2 hours of web designing , they charge same amount.

Step-by-step explanation:

Let x = Number of hours.

Total charge = Initial fee + (Charge per hour   x  Number of hours )

For Designer A,

 Total charge = 550 + 120x

For Designer B,

Total Charge = 660+65 x

When the two designers charge the same amount of money, then

550 + 120x = 660+65 x

⇒ 120x-65x= 660-550

⇒ 55x= 110

⇒ x = 2  [Divide both sides by 2]

So, for 2 hours of web designing , they charge same amount.

a - base

b - exponent

so,