Write an exponential decay model for each situation. The value of \( x \) for each value of \( f ( x ) \) will lie between two consecutive whole numbers. List the whole numbers.
4. initial value: \( 1,000 \) decay rate: \( 20 \% \)
\( f ( x ) = 500\)
5. initial value: \( 1,800 \) decay rate: \( 7 \% \)
\( f ( x ) = 400\)
6. initial value: \( 1,200 \) decay rate: \( 12.5 \% \)
\( f ( x ) = 450\)
\(3,4\\20,21\\7,8\)
A linear function that models data is described below. Find the slope of the model. Then describe what this means in terms of the rate of change of the dependent variable per unit change in the independent variable. The linear function \( f ( x ) = - 0.41 x + 28.6 \) models the percentage of adults in a country who smoked cigarettes, \( f ( x ) \) , \( x \) years after \( 1997 \) .
The slope is \( \square \) . (Type an integer or a decimal.)
Use the quadratic formula or completing the square to determine the greater solution to
\( x ^ { 2 } + 4 x + 2 = 0 \) . Round your answer to the nearest hundredth. Record your answer and fill in the bubbles on your answer document.
