Mathematics, 31.03.2020 07:34 stephaniero6

Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies. Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster. a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters. b. For what number of posters is the cost the same for both companies? Explain. c. Which company do you think the class should buy posters from? Explain your reasoning. d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from? If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?

Answers: 3

Show answers

Answers

Answer from: Frenchfries13

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

For Clear Prints: Cost(p) = 2pFor Sue: Cost(p) = 15 + 0.50p

b. For what number of posters is the cost the same for both companies?

10 posters

c. Which company do you think the class should buy posters from?

if the number of posters is less than 10 they should use Clear prints, because it costs is lower than Sue's.If the number of posters is equal to 10, the cost is the same with both companiesIf the number of posters is greater than 10 they should select Sue.

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

Clear Print

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?

Yes, in this case the class must order the posters from Sue.

What factors influenced your decision?

The budget and the charges of each company/

Explanation:

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

Clear prints

Call p, the number of posters. The cost is the number of posters, p. times the unit cost per poster ($2):

Cost(p) = 2p

Sue

Using the same variable, p, for the number of posters, the cost is the flat rate, $15, plus the number of posters multiplied by the unit cost per poster, $0.50:

Cost(p) = 15 + 0.50p

The equations fhat Ichiro could use to calculate the cost for any number of posters, are:

For Clear Prints: Cost(p) = 2pFor Sue: Cost(p) = 15 + 0.50p

b. For what number of posters is the cost the same for both companies?

Solve the system: equate both equations:

2p = 15 + 0.50p2p - 0.50p = 151.50p = 15p = 15/1.50p = 10

Conclusion: For 10 posters the cost is the same for both companies.

c. Which company do you think the class should buy posters from?

It depends on the budget and the number of posters desired.

You can calculate the range in which the cost is lower by one company of the other.

You already know that if you are ordering 10 posts, the cost is the same for both companies.

How much is that cost? Compute Cost (10):

Cost(10) = $2(10) = $20

What happens if the number of posters is less or greater than 10.

Solve an inequality:

2p < 15 + 0.50p2p - 0.50p < 151.50p < 15p < 15 /1.50p < 10

Hence,

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

In this case the decision is driven by the buget.

How may posters can the class order to pay $18?

With Clear Prints:

18 = 2pp = 18 / 2 = 9 posters

With Sue:

18 = 15 + 0.5p0.5p = 18 - 150.5p = 3p = 3 / 0.5p = 6 posters

Then, with a budget of $18, the class should buy posters from Clear Print.

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made?

Repeat the calculations:

For Clear print:

18 + 20 = 2pp = 38 / 2 = 19 posters

For Sue:

18 + 20 = 15 + 0.50p0.50p = 38 - 150.50p = 23p = 23 /0.5 = 46 posters

With a budget of $38 the class can buy more posters from Sue.

What factors influenced your decision?

The budget and the charges are the factors that influence the decision. Once you know the charges from each company, you can calculate the number of posters the class can order from each one, with a given budgent, and then make the best decision (economically speaking).The charges have two components that constitute the total cost: a flat fee (in the case of Sue) and a unit cost (in both cases).

Answer from: Quest

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:00, mmassaro19

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

Answers: 1

continue

Mathematics, 21.06.2019 17:20, tfyfejeje1739

The function a represents the cost of manufacturing product a, in hundreds of dollars, and the function b represents the cost of manufacturing product b, in hundreds of dollars. a(t) = 5t + 2 b(t) = 7t - 2t +4 find the expression that describes the total cost of manufacturing both products, a(t) + b(t). a. 7t^2 - 7t + 2 b. 7t^2 + 3 +6 c. 7t^2 + 7t - 6 d. 7t^2 - 3t + 6

Answers: 3

continue

Mathematics, 21.06.2019 20:00, brethan

Me! i really need to get this right before 9. prove the divisibility of 7^6+7^5-7^4 by 11. use factoring so you get a number times 11. just tell me the number. i need this done asap

Answers: 1

continue

Mathematics, 22.06.2019 02:30, shamiahG

Hurry the figure shows the front side of a metal desk in the shape of a trapezoid. what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²

Answers: 3

continue

You know the right answer?

Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local cha...