What is the answer to this question?
derrick's dog sitting and darlene's dog sitting are competing for new business. derrick's dog sitting charges $12 plus $7 per hour. darlene's dog sitting charges $16 plus $5 per hour.

complete and solve the equation that can be solved to find the number of hours for which the total cost will be the same for the two services. in your equation, use x to represent the number of hours of dog sitting.

For 2 hours of dog stinting the total cost will be the same for the two services.

Step-by-step explanation:

x to represent the number of hours of dog sitting

Derrick's Dog Sitting

Fixed charged rates  = $12

Sitting charges per hour  = $7

⇒Charges for x hours siting = x ( Charges per hour)

= x ( $7)  = 7x

⇒Total charges of Derrick's Dog Sitting  for x hours  = Fixed charge + Hourly Rate

= $7x + 12

Darlene's Dog Sitting

Fixed charged rates  = $16

Sitting charges per hour  = $5

⇒Charges for x hours siting = x ( Charges per hour)

= x ( $5)  = 5x

⇒Total charges of Darlene's Dog Sitting for x hours  = Fixed charge + Hourly Rate

= $5x + 16

Now, according to the question:

for x hours sitting, both company charges are same.

⇒ $7x + 12  =  $5x + 16

or, 7x - 5x = 16 - 12

or, 2x = 4

⇒ x =  2

Hence, for 2 hours of dog stinting the total cost will be the same for the two services.

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