Question 1021133
The choices look strange.  Try starting with a general model {{{y=p*e^(kx)}}}.  Two points are  (1,880) and (2,3520).  You might instead try a general model {{{y=p*(1+r)^x}}} in which the rate of growth per hour is r, as a decimal value.  This form of the model might be better for the kinds of choices you want to use.


One point gives an equation  {{{p*(1+r)^1=880}}}
{{{p(1+r)=880}}}
and the other point gives  {{{p*(1+r)^2=3520}}}.


First one gives {{{p=880/(1+r)}}}, and substituted into the second equation gives  {{{(8/(1+r))(1+r)^2=3520}}}
simplifiable as  {{{8(1+r)=3520}}}
allowing you to find r.
-
{{{1+r=3520/8}}}
{{{r=3520/8-1}}}
{{{r=439}}}


Using this in the first equation {{{p(440)=880}}}
{{{p=2}}}


Putting these into the model from the general form makes {{{y=2*(1+439)^x}}}
Simpliable to {{{y=2*440^x}}}
{{{highlight(y=880^x)}}}


Still not the same as any of the choices you have.