A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces, and $4 for any serving greater than 8 ounces and up to 12 ounces.


Build the function that models the relationship between the price p(w) and of the weight w of a serving of yogurt.

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Answer:

p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8

p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12

Step-by-step explanation:

Price, p of weight of a toughurt serving :

p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8

p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12

The function that models the relationship is:

p(w) = 0.50w  for 0  <  w  ≤ 8

p(w) = 4w   for  8 < w ≤ 12

The self-serve frozen yoghurt store charges:

$0.50 per serving for a serving between 0 and 8 ounces

$4 per serving for any serving greater than 8 ounces and up to 12 ounces.

Let the weight of servings be represented by w

Let the price as a function of the weight be p(w)

For a charge of $0.50 per serving:

p(w)  =  0.50w,  where   0  <  w  ≤ 8

For a charge of $4 per serving:

p(w) = 4w, where 8 < w ≤ 12

Therefore, the function that models the relationship is:

p(w) = 0.50w  for 0  <  w  ≤ 8

p(w) = 4w   for  8 < w ≤ 12

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