Answer:
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) Â = 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) Â = 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.