Moldy Bagel (Part 1): You bought a bagel a little while ago,…

Moldy Bagel (Part 1): You bought a bagel a little while ago, but forgot to eat it.  When you find it again, you see a little patch of mold growing on it.  Curious, you decide to record the amount of area it covers (in square centimeters) every hour.  After recording your data, you put it into a spreadsheet and have the spreadsheet create an exponential model for you.  The model it gives you is: 

Sales Commission (Part 1): Some companies pay their sales re…

Sales Commission (Part 1): Some companies pay their sales representatives (sales-reps) in a “graduated commission” plan.  Suppose a company pays their employees graduated commission in the following way: If total sales is over— but not over— the commission is: $0 $5,000 2% of the amount over $0 $5,000 $10,000 $100 plus 4% of the amount over $5,000 $10,000 $20,000 $300 plus 5% of the amount over $10,000 $20,000 no limit $800 plus 6% of the amount over $20,000   (A)  How much money would a sales-rep earn in commission with $12,000 in sales?   (B) What would be the effective commission rate for part (A)?   (C) Write a sentence or two explaining what the effective commission rate from part (B) means in this context.

Metro Gardens: Inniswood Metro Gardens is currently a 123 ac…

Metro Gardens: Inniswood Metro Gardens is currently a 123 acre Columbus Metro park which includes a botanical garden.  The park was originally a 37 acre family estate that was donated to become a park. Suppose that 12% of the current park is covered with mulch (a layer of soil and fertilizer) each year. (1 acre = 43,560 square feet) (12 inches = 1 foot) Remember to show and explain all your work, including units. (A)  How many acres need to be covered with mulch each year? (B)  How many square feet is your answer in part (A)?   (C)  The mulch needs to be 3 inches deep, and each bag of mulch holds 3 cubic feet of mulch.  How many bags would need to be bought to mulch the area you found in part (B)? (D)  Assume each bag of mulch costs $4.35.  How much would buying all of this mulch cost?

Sales Commission (Part 3): We are using the same graduated c…

Sales Commission (Part 3): We are using the same graduated commission scale as was given in Sales Commission (Part 1): If total sales is over— but not over— the commission is: $0 $5,000 2% of the amount over $0 $5,000 $10,000 $100 plus 4% of the amount over $5,000 $10,000 $20,000 $300 plus 5% of the amount over $10,000 $20,000 no limit $800 plus 6% of the amount over $20,000   What if a sales-rep earned $425 in commission.  How much were the total sales to earn that commission?