Question 18.88

58. Each December, the Friends of the Rock River Philharmonic raises funds with a holiday sale of poinsettia plants. The choices available, with cost in 2014 and average number of flowers per plant, are shown in the accompanying table.

Diameter of Flowerpot Average Number of Flowers Cost
6 in. 6 $11
7 in. 9 $18.75
8 in. 18 $30
  1. Plot on ordinary graph paper cost versus diameter of flowerpot. Do you observe linear scaling?
  2. Use a calculator or spreadsheet to take the base-10 logarithms of the cost and then graph the logarithm of cost versus diameter of flowerpot.
  3. Repeat parts (a) and (b) for cost versus average number of flowers.
  4. Use a model to estimate the number of flowers and the cost for a 9-in.-diameter flowerpot.