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?

17.6°F
35.2°F
41.0°F
72.2°F

1 answer

To find the temperature at which the ice cream shop would have a positive profit, we need to set c greater than 0:

17.6t - 721.6 > 0
17.6t > 721.6
t > 721.6 / 17.6
t > 41.0°F

Therefore, the temperature that would make the ice cream shop have a positive profit is 41.0°F.