Sophia operates a full service day spa in a small college town. Recently, Sophia rented space next to her spa and opened a spray tanning salon. She anticipated that the costs for the spray tanning service would primarily be fixed, but found that tanning salon costs increased with the number of appointments. Costs for this service over the past 8 months are as follows:

Required:
Prepare a scattergraph based on Sophia’s data. Use monthly cost for the vertical axis and number of appointments for the horizontal axis. Based on an examination of the scattergraph, does there appear to be a linear relationship between the cost of tanning services and the number of appointments?

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Month January February March April May June July August Tanning Appointments 1,500 1,600 1,700 1,400 1.300 1,625 1,350 1,200 Total Cost $36,900 38,250 39,000 33.750 36,000 40,000 35.100 33,000