Answer:

Step-by-step explanation:
x is time in years
f(x) represent the average annual salary in thousand dollars
We are given
The average annual salary of the employees of a company in the Year 2005 was $70,000
We can use exponential formula

Since, time starts from 2005
So, at x=0 , f(x)=70
we can use it


in 2006 the average annual salary was $82,000
So, in x=2006-2005=1
f(x)=82
we can plug it and find b



now, we can plug it back
and we get

C
Because the letters a and b are variables
this makes no sense so maybe try something better
Answer:
The quality control facility operates for 10 hours each day.
Step-by-step explanation:
The given function models the number of cars that are put through a quality control test each hour at a car production factory.
The given function is
We need to find the number of hours does the quality control facility operate each day.
Rewrite the given function it factored form.
Taking out the common factors from each parenthesis.
The factored form of given function is c(t)=-(t-10)(t+2).
Equate the function equal to 0 to find the x-intercept.
Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.