Interpret Expressions Worksheets Grade 9

1. Emma's business profit is modeled by P(x) = 7x² - 13x + 9 where x represents hundreds of units sold. What does the constant term 9 represent in this context?
2. Isabella's company profit is modeled by P(x) = 12x² - 25x + 18, where x represents hundreds of units sold. What does the constant term 18 represent in this context?
3. Noah's company profit is modeled by P(x) = 9x² - 17x + 14 where x represents hundreds of units sold. What does the constant term 14 represent in this context?

…and 5 more problems

1. Isabella's company profit is modeled by P(x) = 7x² - 12x + 17 where x represents hundreds of units sold. What does the constant term 17 represent in this context?
2. Emma is analyzing the growth of a bacteria culture in her biology lab. The population P after t hours is modeled by the function P(t) = 500 * 2^(t/3). She needs to determine how long it will take for the bacteria population to reach 4000. Write an equation and solve for t.
3. Noah's company profit is modeled by P(x) = 9x² - 17x + 13 where x represents hundreds of units sold. What does the constant term 13 represent in this context?

…and 4 more problems

1. The total cost C (in dollars) for Jordan's school club to produce 138 custom T-shirts is given by C = 7x + 125. In this expression, what quantity does the term 125 represent?
2. A right triangle is drawn on a coordinate plane with vertices at (0,0), (5,0), and (0,12). A circle is circumscribed around this triangle such that all three vertices lie on the circle's circumference. What is the equation of this circumscribed circle?
3. Isabella's company profit is modeled by P(t) = -2t² + 14t + 11, where t represents the number of years since the company started. What quantity does the constant term 11 represent in this context?

…and 5 more problems