Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the leading coefficient a of x2 should be positive or negative.
A. linear; negative
B. linear; positive
C. quadratic; positive
D. quadratic; negative
Answer: D
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Solve the problem.In 1998, the population of Country C was 28 million, and the exponential growth rate was 1% per year. Find the exponential growth function.
A. P(t) = 280.01t , where P(t) is in millions and t is the number of years after 1998. B. P(t) = 28e0.01t, where P(t) is in millions and t is the number of years after 1998. C. P(t) = 28e0.01, where P(t) is in millions and t is the number of years after 1998. D. P(t) = 28e1t, where P(t) is in millions and t is the number of years after 1998.
Provide an appropriate response. National sales of a certain product have increased 54%. If there were 98.6 billion dollars in sales last year, how many dollars had the sales increased?
A. 151.844 billion B. 45.356 billion C. 34.574 billion D. 1,079.46 billion
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions.log4(16x)
A. 2x B. 2 + log4 x C. 2 log4 x D. 8 + log4 x
Factor the expression.
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What will be an ideal response?