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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Answer question 1 to unlock
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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Answer question 2 to unlock
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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Answer question 3 to unlock
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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Answer question 4 to unlock
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?
correct answers
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