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