In this activity, you will use technology to develop an exponential model of a data set and then use the model to make predictions. Over a 10-year period, the scientists recorded the number of oak trees infected with oak wilt in the forest. Their data is in the table.

[A] Using the Graphing tool, write the exponential function that best models the number of trees infected, , in terms of years, x.
Replace a and b to write the function. Round values to the nearest hundredth.

[B] Consider the exponential function modeling the data. According to the function, how many of the trees in the forest will have been infected by oak wilt by year 12?
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest whole number.

[C] The scientists want to predict how long it will take all 200 of the oak trees in the forest to become infected with oak wilt.
According to the function modeling this situation, all 200 trees will be infected by oak wilt approximately ___ years after the first tree was infected.