The Coffee Casa is selling franchises. It is estimated that the number of franchises $\mathrm{N}$ will follow the exponential grow th with a rate of $7 \%$ per year. Assume that the number of franchises was 24 in 2010 . How many franchises will there be in 2017 ? Type your answer...

Step 1 ：The problem is asking for the number of franchises in 2017 given that the number of franchises grows exponentially at a rate of 7% per year. The formula for exponential growth is: \(N = P * e^{rt}\) where: \(N\) is the final amount, \(P\) is the initial amount, \(r\) is the rate of growth (in decimal form), \(t\) is the time (in years).

Step 2 ：In this case, \(P = 24\) (the number of franchises in 2010), \(r = 0.07\) (7% growth rate), and \(t = 7\) (the number of years from 2010 to 2017).

Step 3 ：We can substitute these values into the formula and calculate the number of franchises in 2017.

Step 4 ：\(P = 24\)

Step 5 ：\(r = 0.07\)

Step 6 ：\(t = 7\)

Step 7 ：\(N = 39.175589278929095\)

Step 8 ：Final Answer: There will be approximately \(\boxed{39}\) franchises in 2017.