Question

# Fred and Carrie's Research Report

Washing Machine and Formula Information

Fred and Carrie

are thinking of purchasing washing machines that have a 20-pound capacity, meaning that each machine can hold 20 pounds or less. The inequalities below demonstrate the number of machines needed, based on the number of pounds of laundry a customer brings in (n.)

M= number of washing machines needed

n= number of pounds of laundry

1 if 0 < n ≤ 20

2 if 20 < n ≤ 40

M = 3 if 40 < n ≤ 60

4 if 60 < n ≤ 80

5 if 80 < n ≤ 100

Fred and Carrie expect each load of laundry to cost them $0.97.

**Formula for** **cost per load **(c) = .97*M

Fred and Carrie plan to charge customers $12.00 per load.

**Formula for sales **(s) =** **$12*M

Profit is calculated by subtracting all costs from sales.

**Formula for profit** **per customer **(P) = s-c

Estimation and Reasonableness

This section focuses on estimation and reasonableness. Use estimation and rounding for each of the questions in this section (numbers 1, 2 and 3).

Fred and Carrie have two goals:

● Sell $2,500 or more per week.

● Spend $250 or less per week.

1. Are their goals reasonable? Why or why not? Be sure to show your work.

Yes, these goals are both reasonable

__The first goal to sell $2,500 or more per week.__

Goal 1. (P) = s-c, P = $12 - $1 = $11 (the .97 is rounded up to 1)

$2,500/$11 = 230 loads per week, (the 226 .65 is rounded up to 230)

230 * $11 = $2,530 is more than the goal of $2,500

__The second goal is to Spend $250 or less per week__

__ __

Goal 2. So, 230 loads per week with a cost of $1 for every load

$1. * 230 = $230.per week. This is less than $250

For my answers to the first goal, I thinking I should have used another formula. maybe P-c = S

Should I round my answer of 226.65 up to the nearest cent? Would that be 226.70?