we are given
[tex] x(t)=700-30t-15t^2 [/tex]
Average rate of change:
we can use formula
[tex] v(t)=\frac{x(t)-x(0)}{t-0} [/tex]
[tex] x(t)=700-30t-15t^2 [/tex]
[tex] x(0)=700-30(0)-15(0)^2 [/tex]
[tex] x(0)=700 [/tex]
now, we can plug value
and we get
[tex] v(t)=\frac{700-30t-15t^2-700}{t-0} [/tex]
now, we can simplify it
[tex] v(t)=\frac{-30t-15t^2}{t} [/tex]
[tex] v(t)=\frac{t(-30-15t)}{t} [/tex]
now, we can cancel t
[tex] v(t)=-30-15t [/tex]
so, option-d.............Answer
