Question

Mr. Cristo's Dog Services charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Mr. Campbell's Dog Services charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same? The answer is only a number. Please just type the number.

a. 4
b. 5
c. 6
d. 7

Answer 1

After setting the equations for both services equal to each other, we find that Mr. Cristo's and Mr. Campbell's Dog Services charge the same total fee after 3 hours.

Step-by-step explanation:

To find out after how many hours the total fee charged by Mr. Cristo's Dog Services and Mr. Campbell's Dog Services would be the same, we need to set up an equation that represents the cost for each service and find the point where they intersect. Mr. Cristo charges a flat fee of $15 plus $3 per hour, so the cost equation for Mr. Cristo's service is C = 15 + 3h, where h is the number of hours. Similarly, Mr. Campbell charges a flat fee of $21 plus $1 per hour, so the cost equation for Mr. Campbell's service is C = 21 + 1h.

To find the number of hours where both services charge the same, we set the equations equal to each other:

15 + 3h = 21 + 1h

2h = 6

h = 3

Therefore, after 3 hours, both companies charge the same total fee.