Question

NO SPACES AND NO DECIMALS

Answer 1

Answer:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

x = 11 hours

Step-by-step 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