Medium - Quiz 1

Interpret and analyze quadratic, exponential, and other nonlinear functions through graphs, tables, and real-world scenarios.

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Question 1

The function $f(x) = -2(x - 3)^2 + 18$ models the profit, in thousands of dollars, a company earns when it sets a product price at $x$ dollars. What is the maximum profit, in thousands of dollars?

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A scientist measures a bacteria population that doubles every 3 hours. If the population starts at 500, which function models the population $P$ after $t$ hours?

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The function $g$ is defined by $g(x) = 3x^2 - 12x + 7$. What is the value of $x$ at which $g(x)$ reaches its minimum?

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A car purchased for $24,000 loses 15% of its value each year. Which expression represents the car's value, in dollars, after $t$ years?

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A ball is thrown upward from a rooftop. Its height in feet after $t$ seconds is given by $h(t) = -16t^2 + 32t + 48$. What is the height of the rooftop, in feet?

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