Mathematics: The cost (c) to hire a dog trainer is varies directly with the amount of time (h) in hours spent training the dog. part a write an equation to represent the proportional relationship between c and h using the information given. c = part b sue spent $660 on 12 hours of obedience training for her dog muffin. jon wants to use the same dog trainer for his dog tex, but he only has $440 to spend. how many hours of training can he get for tex? explain your reasoning.

The cost (c) to hire a dog trainer is varies

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02.01.2022

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

$h=440/55=8\ hours$

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