Question

2. A dog breeder's pricing model includes a per puppy charge along with a fired service fee. A litter with

Answer 1

The linear function that models the situation is given by:

$C(p) = 100 + 12p$

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A linear function for the cost C of taking care of p puppies has the following format:

$C(p) = C(0) + ap$

In which:

• C(0) is the fixed cost.
• a is the slope, which is the cost per puppy.

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• With 6 puppies, it costs $172. With 10 puppies, it costs $220. The slope is given by the change in the output(cost) divided by the change in the input(number of puppies), thus:

$a = \frac{220 - 172}{10 - 6} = 12$

Thus:

$C(p) = C(0) + 12p$

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The cost of $172 with 6 puppies means that when p = 6, C = 172, and we use this to find C(0).

$C(p) = C(0) + 12p$

$172 = C(0) + 12(6)$

$C(0) = 172 - 72$

$C(0) = 100$

Thus, the linear model is:

$C(p) = 100 + 12p$

A similar problem is given at brainly.com/question/16302622