An ice cream shop was doing research on its sales. The results showed that the relationship between the average daily temperature in Fahrenheit, t, and the daily ice cream profit in dollars, c, could be modeled by the equation c = 17.6t - 721.6.
According to the model, which of the following temperatures to the nearest tenth of a degree would make the ice cream shop have a positive profit?
To find the temperature that would result in a positive profit for the ice cream shop, we need to set the profit equation c = 17.6t - 721.6 greater than zero and solve for t:
17.6t - 721.6 > 0
17.6t > 721.6
t > 41
Therefore, any temperature above 41 degrees Fahrenheit would result in a positive profit for the ice cream shop.