A local theater has a maximum capacity of \( 1,000 \) people. For their latest production, adult tickets cost \( \$ 25 \) and youth tickets cost \( \$ 12.50 \) . The theater must make at least \( \$ 15,000 \) for the show to go on.
a. Write and graph a system of linear inequalities:
b. Write two possible solutions:
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.
