Sale in thousands of a new type of product are given by s(t)=170-*t) where t represents time in years. find the rate of change of sales at the time when t =2

we are given

Firstly , we can find derivative

now, we can simplify it

now, we can plug t=2

..............Answer

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

x/3-10=8

x/3=18

x=48