Question

Jeannine runs a mobile dog bathing service, and the amount of money she earns varies directly with the number of dogs she bathes. During one particular week, she earns $324 washing 27 dogs. Write an equation that represents Jeannine's revenue, y, in terms of the number of dogs she washes, x. Then, graph the relationship on the coordinate plane.

Answer 1

y=12x

Explanation:

Let x represents the number of dogs she washes

and y represents the revenue

the amount of money she earns varies directly with the number of dogs she bathes.

So y=kx

During one particular week, she earns $324 washing 27 dogs.

324=k*27

Amount she earns for one dog bathing is

k=
`(324)/(27) =12`

cost she earns per dog is $12

Revenue = cost per dog * number of dogs

So the equation is

y= 12 x

Answer 2

the cost of bathing service per dog :
$324/27 = $12


x = number of dogs she washes
y = revenue
so the equation:

y = 12x

1 dog = $12
2 dogs = $12 x 2 = $24
3 dogs = $12 x 3 = $36
4 dogs = $12 x 4 = $48

use these coordinate points to graph it.

x - coordinate = number of dogs she washes
y - coordinate = total cost ($)