Question

Please help me right away.

Answer 1

we are given

`x(t)=700-30t-15t^2`

Average rate of change:

we can use formula

`v(t)=(x(t)-x(0))/(t-0)`

`x(t)=700-30t-15t^2`

`x(0)=700-30(0)-15(0)^2`

`x(0)=700`

now, we can plug value

and we get

`v(t)=(700-30t-15t^2-700)/(t-0)`

now, we can simplify it

`v(t)=(-30t-15t^2)/(t)`

`v(t)=(t(-30-15t))/(t)`

now, we can cancel t

`v(t)=-30-15t`

so, option-d.............Answer