Question

The cost (c) to hire a dog trainer is varies directly with the amount of time (h) in hours spent training the dog.

Answer 1

Answer:

Part A) The proportional equation is $c=55h$

Part B) 8 hours of training

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

c -----> the cost to hire a dog

h ----> the amount of time in hours

The linear equation is equal to

$c=kh$

Sue spent $660 on 12 hours of obedience training for her dog Muffin

Find the value of k (constant of proportionality)

$k=y/x$

substitute the values

$k=660/12=55$

therefore

The linear equation is

$c=55h$

For $c=\ 440$

Find the value of h

substitute in the equation and solve for h

$440=55h$

$h=440/55=8\ hours$