Mrs. ramirez has her students gathering data about the price of school lunches over time in the united states. the students are considering factors like, geographic region, food options offered, basic economic climate, and year. the students are using spreadsheet software and the internet to make sense of their data. she develops some self-assessment questions for the students to the students track their understanding and progress during this long-term project. the following is an excerpt from one student’s responses:

The monthly payment m of a loan of amount p for y years with an interest rate r can be calculated by the formula: m = p(r/12) 1 â’ (1 + r/12)â’12y calculate the monthly payment and the cummulative total payment for a $100,000 loan with an interest rate of 4.85% if taken out for 10 years, for 11 years, etc., up to a 30 year term. display the results in a three-column table where the first column is the number of years, the second is the monthly payment, and the third is the cummulative total payment. note: use format bank; for this problem. also, remember to represent the interest rate as a decimal (e.g. 0.0485) 2. a torus-shaped water tube is designed to have a volume of 8, 000in3 . the volume of the tube, v , and its surface area, s, are given by: v = 1 4 ď€ 2 (a + b)(b â’ a) 2 s = ď€ 2 (b 2 â’ a 2 ) if a = kb, determine s, a, and b for k = 0.2, 0.3, 0.7. display the results in a table

Ben collins plans to buy a house for $166,000. if the real estate in his area is expected to increase in value by 2 percent each year, what will its approximate value be five years from now?

At a student café, there are equal numbers of two types of customers with the following values. the café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate). students with early classes students without early classes coffee 70 60 banana 51 101 the marginal cost of coffee is 10 and the marginal cost of a banana is 40. the café owner is considering three pricing strategies: 1. mixed bundling: price bundle of coffee and a banana for 161, or just a coffee for 70. 2. price separately: offer coffee at 60, price a banana at 101. 3. bundle only: coffee and a banana for 121. do not offer goods separately. assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. for simplicity, assume there is just one student with an early class, and one student without an early class. price strategy revenue from pricing strategy cost from pricing strategy profit from pricing strategy 1. mixed bundling $ $ $ 2. price separately $ $ $ 3. bundle only $ $ $ pricing strategy yields the highest profit for the café owner.