The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a trip. The group has a $200 budget to spend on supplies, which is enough to make 260 bracelets. The group is charging $2 per bracelet at the craft fair.
Part A Suppose b is the number of bracelets sold, and f(b) is the profit the band makes on the sales. What are the independent and dependent variables in this situation?
Part B Write a function modeling the relationship.
Part C Suppose the group sells exactly 100 bracelets. What will be the profit from the sales?
Part D Find the following for this situation: the minimum and maximum values in the domain the maximum value in the range

Respuesta :

Answer:

Which statements about this situation are true?

Select all the correct answers.

THE  CORRECT ANSWER ARE B AND D

The maximum value in the range is $200.

The maximum value in the range is $320.

The maximum value in the domain is 200.

The minimum value in the domain is 0.

Step-by-step explanation:

The domain is defined by b, the number of bracelets sold.

The minimum value in the domain is 0, which represents no bracelets sold.

The maximum value in the domain is 260, which represents the largest number of bracelets the group can make, and the largest number they could sell.

The range is defined by f(b), the amount of profit on the bracelets.

To find the maximum value in the range, we find f(260), the profit on selling the maximum in the domain.

Substitute 260 for b in f(b) = 2b – 200:

f(260) = 2(260) – 200

f(260) = 320

The maximum value in the range is $320.

The maximum value in the range = $320, and the value at 260 f(260) = $320.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

The group has a $200 budget to spend on supplies

B, or the quantity of bracelets sold, is the domain.

The domain's lowest number, 0, denotes the absence of any bracelet sales.

The domain's maximum value is 260, which is the most bracelets the organization can produce and the most they could possibly sell.

The profit on the bracelets, f(b), determines the range.

We locate f(260), the profit on selling the most in the domain, to determine the highest value in the range.

Substitute 260 for b in f(b) = 2b – 200:

f(260) = 2(260) – 200

f(260) = 320

Thus, the maximum value in the range = $320, and the value at 260 f(260) = $320.

Learn more about the function here:

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