Question

What is the answer to this question?

Answer 1

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)  = 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.