There were about 1.22 million hispanic-owned businesses in 2012 and 1.73 million in 2017.

a) find an exponential model for this data in which t = 0 corresponds to 2012 and the number of businesses is measured in millions. round computed values to at least 4 decimal places

b) assuming the model remains accurate, how many million hispanic-owned businesses will there be in 2038? round to the hundredth.

  f(t) = 1.22·(173/122)^(t/5)

Step-by-step explanation:

(a) An exponential growth (or decay) function can be written using the form ...

  f(t) = (initial value)·(ratio in period)^(t/period)

Here, we're given an initial value of 1.22, a growth ratio of 1.73/1.22 in a period of 5 years, so we can write the function as ...

  f(t) = 1.22·(173/122)^(t/5)

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(b) In 2038-2012 = 26 years, the value of the function is ...

  f(26) = 1.22·(173/122)^(26/5) ≈ 7.50 . . . . million

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this