(Calculator Active) After a large snow storm, snow is plowed into a large mound to the side of a parking lot. As the snow melts, the amount of snow remaining can be modeled by
S(t)=562e −0.5t
where
t
is measured in days. After 7 days, the amount of snow remaining is better estimated by the linear approximation to
S
at
t=7
days. Use this linear approximation to
S
to estimate the amount of snow remaining at
t=8
days.