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Happy paws charges $19 plus $5.50 per hour to keep a dog during the day. Woof watches charges $10.00 plus $6.75 per hour complete the equation and solve it to find out for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours . The equation is ? The total cost of the services will be at Hours.

User Fjarlq
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2 Answers

6 votes

Final answer:

To find the equation that expresses the total cost of the services in terms of the number of hours, set up the equation and solve for h. The total cost of the services will be equal when the number of hours is 7.2.

Step-by-step explanation:

To find the equation that expresses the total cost of the services in terms of the number of hours, we can set up the following equation:

Happy paws: Total cost = $19 + $5.50 * h

Woof watches: Total cost = $10.00 + $6.75 * h

To find the number of hours where the total cost of the services is equal, we can set the two equations equal to each other:

$19 + $5.50 * h = $10.00 + $6.75 * h

Now, we can solve for h:

$19 - $10.00 = $6.75 * h - $5.50 * h

$9 = $1.25 * h

h = $9 / $1.25

h = 7.2

Therefore, the total cost of the services will be equal when the number of hours is 7.2.

User EvensF
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You easily add up all the numbers.$19.00+$5.50=24.50.24.50+10.00=34.50.34.50+6.75=35.25.So it is $35.25 per hour.
User Kboul
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