Hello i am in a math 95 class. my names drew and i was looking at a problem having to do with exponential equations . there were about 1.32 million hispanic-owned businesses in 2006 and 1.7 million in 2008. a) find an exponential model for this data in which t = 0 corresponds to 2006 and the number of businesses is measured in millions. round computed values to at least 4 decimal places f(t)=   b) assuming the model remains accurate, how many million hispanic-owned businesses will there be in 2024? round to the hundredth. million businesses

If it's an exponential model, then we have the original value (1.32 million, or t=0) times something (we can call this y) to the power of another something (we can call it x) equals 2008. Since 2008-2006=2, it may be wise to separate it into 2 year increments. Therefore, if 1.32*(y^x)=1.7, then we can write y as the change every 2 years (in terms of the ratio, or 1.7/1.32 due to that 1.32*1/7/1.32=1.7 since 2 years is the first increment and x is therefore 1) and x as the number of 2 year differences). Since y=1.7/1.32 and 2024-2006=18 (to get it into 2 year increments, we have 18/2=9), we have 1.32*((1.7/1.32)^9)=around 12.87 million people