A bag of frozen vegetables with temperature 32◦F is placed in a 75◦F room. After 20 minutes, the temperature of the vegetables has risen to 41◦F. Using this information, find an exponential formula for the temperature of the vegetables where time is measured in minutes. To find the exponential formula, transform the temperature into a new variable for which the problem can be solved as an exponential growth/decay problem. Then find the formula in that variable and transform back to temperature. Based on the formula, what is the temperature of the vegetables after 45 minutes?

A bag of frozen vegetables with temperature 32◦F is placed in a 75◦F room. After 20 minutes, the temperature of the vegetables has risen to 41◦F. Using this information, find an exponential formula for the temperature of the vegetables where time is measured in minutes. To find the exponential formula, transform the temperature into a new variable for which the problem can be solved as an exponential growth/decay problem. Then find the formula in that variable and transform back to temperature. Based on the formula, what is the temperature of the vegetables after 45 minutes?