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 $7\mathrm{\%}$ per year. Assume that the number of franchises was 24 in 2010 . How many franchises will there be in 2017 ?
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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: $N=P\ast e^{rt}$ 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 $\boxed{{\displaystyle 39}}$ franchises in 2017.