1. Do NOT uses spaces when inputting answers.

2. When inputting linear equations be sure to use the format y=mx+b ( without spaces ).

3. Round appropriately for the context of the specific word problem.

4. Use commas appropriately for numbers larger than "999".

Question at position 1 1

7 points

Question at position 1 A small business makes handcrafted lamps. The fixed cost for production setup is $500, and the variable cost to produce each lamp is $20. In the first week of operation they sold 13 and accumulated $585 in revenue. A week later they sold 38 lamps and accumulated $1710. Letting P = Profit, C = Cost, R = Revenue, and x = number of lamps:

a. The Revenue function is Question Blank 1 of 7 R=45x

b. The Cost function is Question Blank 2 of 7 C=500+20x

c. The Profit function is Question Blank 3 of 7 P=R-C

d. The shop only has enough storage space for 500 lamps. Assuming maximum storage capacity on a given day, what is the maximum profit they could accrue on that day? $ Question Blank 4 of 7 P=12,000

e. How many lamps need to be sold to achieve a profit of $1000. Question Blank 5 of 7 60 lamps

f. How many lamps must be sold to break even? Question Blank 6 of 7 20 lamps

g. If the cost to produce a lamp went up to $30, how would the break even quantity be impacted? Question Blank 7 of 7 the break even quantity will go up

Question at position 3 3

3 points

Question at position 3 The cost of vehicles has changed quite a bit over the last 20 years. In 2006 I purchased my first car. These were the asking prices for some used Honda Civics advertised in newspaper classifieds on in 2006.

Model Year Asking Price 2004 $10,950 2003 $9,400 2001 $8,990 1998 $5,800 1997 $5,850 1994 $3,800 1989 $1,500

Create a table for the age of the car in 2006 and the asking price. Enter the table into excel, your calculator, or Desmos. Then use linear regression to find a line of best fit in terms of x. What is the equation for that line? (Round to 3 decimal places.)

a. Determine a line of regression for this data. y = Question Blank 1 of 3 -346.564x+10816.750

b. I purchased a 2002 Civic. Based on the data what should have been the approximate asking price ( round to nearest tens )? $ Question Blank 2 of 3 9430.5

c. That same year I saw another add for the same model Honda Civic for $7500. Based on the research I had just done in purchasing my car, approximately what should be the model year of the car in the ad? Question Blank 3 of 3 1996

Question at position 4 4

2 points

Question at position 4 The table below gives the number of hours spent studying for a math exam and the final exam grade.

Study Hours 2 5 1 0 4 2 3 Grade 77 92 70 63 90 75 84

a. Predict the exam grade for a student who studies for 6 hours? ( round appropriately for the context of the problem )
Question Blank 1 of 2 83

b. What is the correlation coefficient? ( round to three decimal spaces ) r = Question Blank 2 of 2 0.558