What is the domain and range of R(c) in this context?

Question

Your history class is running a bake sale in the school's cafeteria. Each bag of cookies costs $3. You have 150 bags of cookies to sell. The function R(c)=3c represents the amount of money you can make selling bags of cookies, where c is the number of bags of cookies. What is the domain and range of R(c) in this context?

Answer 1

The domain is the number of bags of cookies, which we know goes up to 150. So the domain is 0 to 150. We can't have c less than zero (less than no bags) and we can't have more than 150, because that's all we've got.

The range is the amount of money from the sale of cookies. So that will be $0 to $450, because each bag costs $3. So the most money is $450 and the range is 0 to 450 dollars. Or you could say the range is $450 being the difference between the highest and lowest value.

Comments

Thank you, can you help me with this one?

Consider this function in explicit form.

f(n)=3n-4; n>1

Select the equivalent recursively defined function.

A. f(1)= -1; f(n)=f(n-1)+3; n>2

B. f(1)= -1; f(n)=3f(n-1)+3; n>2

C. f(0)= -4; f(n)=3f(n-1)+3; n>2

D. f(0)= -4; f(n)=f(n-1)+3; n>2

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I've answered this in the main body of questions. I spotted a typing error which I corrected. I hope you understand the method OK.

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can you help me with this question: Let h(x) = 2x+4. If g(x) is a vertical stretch of 3 units and a horizontal translation 6 units left, what is the rule for g(x)?

Answer 2

Well we don't have much information but we know that it only goes up to 150. So I'm guessing 150 is your best possible answer.