Answer: [tex]y = 10\cdot 2.6^t[/tex]
Explanation:
The general formula for an exponential function is:
[tex]y=a\cdot (1+r)^t[/tex]
with "a" the initial value and "r" the growth rate.
We are given the value at time 0:
[tex]10=a\cdot 2.6^0 = a[/tex]
Therefore the initial value is 10 yielding the answer above.
(there is a slight chance that your teacher defines "growth rate" not as the "r" as in (1+r) but as the entire "(1+r)" in which case you should replace 2.6 by 1.6.