Question

NO SPACES AND NO DECIMALS

Happy Paws charges
$20.00 plus $4.00 per hour
to keep a dog during the day. Woof Watchers charges
$9.00 plus $5.00 per hour.
Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable x to represent the
number of hours.

Answer 1

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

x = 11 hours

Explanation:

Let

Number of hours = x

Total cost = y

Total cost = fixed cost + variable cost

The equations are:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

solve the equation to find for how many hours the total cost of the services is equal.

Equate total cost of both services

20 + 4x = 9 + 5x

Collect like terms

20 - 9 = 5x - 4x

11 = x

x = 11 hours

Check:

Happy paws

y = 20 + 4x

= 20 + 4(11)

= 20 + 44

= 64

Woof watchers

y = 9 + 5x

= 9 + 5(11)

= 9 + 55

= 64