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so the 2 points are for the one model... (2010, 8.6) and (2020, 7.4) is that correct..?

yes

2020 should read
\[7.4 = ae^{20b}\]

Yes I understand that. Are you supposed to solve for a next?

so b=0.0860465116?

sorry, forgot a step. b=-.0150282203. Is that correct?

That is where I get confused....

\[8.6 = a \times e^{-0.0150282203 \times 10}\]

so
\[\frac{8.6}{e^{-0.0150282203 \times 10}} = a\]

9.99459=a Is that correct?

good luck