The Sales of Various Types of Lawn and Garden Tools

Multiple Choice

The sales of various types of lawn and garden tools vary according to the season. At a certain home improvement store, the monthly sales H of garden hoes (hoes sold per month) declines from July to October whereas the monthly sales of lawn rakes R (rakes sold per month) increase during this same interval. The sales of these two items during the calendar months July-October are modeled by the equations: where t is the month (t = 7 corresponds to July) . In which month does the number of rakes sold equal the number of hoes sold?

A) September
B) October
C) July
D) August
E) November