Question

The table shows the number of trucks registered in a city each year. Suppose the growth continues exponentially.

Answer 1

The formula for exponential growth is y=a(1+r)$^{x}$. Where a is the initial value when time is 0 (100 in this case). r is the growth rate, we can see that the growth is 10%. And x is how much time has passed, we want to find out how many trucks after 9 years.

So we would plug the values in to get y=100(1+.1)$^{9}$. Solving this gives us 235.79, so we would round up to 236, and our answer would be 236 trucks registered in the city in year 9.

Edit: The x and the 9 are exponents, the formatting made them look a bit weird.