Question

The function
`s(t)=1.084x+17.392` models the amount of money ,S ,in billions of dollars, the united states goverment spent on science and technology for the time period 1999-2009, where t is the number of years since 1999

1,write the constraints for the variable t using set builder notation...

2,determine the value of s(7)

3,interpret the value of s(7) in context interpret meaning explain what it is (ex:science only has 50 dollars because someone stole fom them)

name the key feature that is found when solving s(t)=0 then,label the key feature on the graph of s(t)=1.084x+17.392

4. determine if the value for s(t)=0 is reasonable explain why or why not

5.PLEASE MAKE YOUR ANSWER EASY TO READ AND THE ANSWERS ARE POSTED CLEARLY,

Answer 1

S(t)=0

Explanation:

Take the derivatice:

S(t)=
`(d)/(dt)`(1.084x+17.392)

Convert to fraction:

S' (t)
`(d)/(dt)`(
`(271)/(250)`x+17.392)= S' (t)
`(d)/(dt)`(
`(271)/(250)`x+
`(2174)/(125)`)

The derivative of a constant is always 0:

S' (t)=0

Solution:

S'(t)=0

Hope this helps let me know if you need help with anything else