## Podcast Beta

## Questions and Answers

What is the value of f(18) from the given table?

6

What is the input value when the output is 12 from the given table?

3

What is the domain of the function g(x) from the given graph?

[-4, -3] U [-2, 3]

What is the value of x when G(x) = 20, given the function G(x) = 2x + 8?

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What is the value of g(-2), given the function g(x) = √(3x + 10)?

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What is the meaning of the statement H(8) = 40 in the context of the story?

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What is the relationship between the speed of a car and the length of its skid marks on a dry asphalt road?

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If the skid marks of a car measure 100 feet, what was the speed of the car?

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What is the concentration of a drug in a patient's bloodstream 3 hours after injection?

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At what time(s) does the concentration of the drug reach 2?

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What is the height of the ball 2 seconds after it is thrown from the roof of a building?

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What is the maximum height of the ball?

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What is the profit function that represents the profit from selling x toys, and what is the number of toys that should be sold to break even?

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Find the slope-intercept form of the equation of the line that passes through the points (1,2) and (3,6).

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What is the meaning of the slope in the equation E = 4500 - 70t, which represents Terry's elevation in feet after t seconds?

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What is the meaning of the y-intercept in the equation E = 4500 - 70t, which represents Terry's elevation in feet after t seconds?

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What is the total cost, C, to produce n toys, if it costs $400 to develop the toy and $10 to manufacture each toy?

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With a total budget of $2000, how many toys can be produced, if it costs $400 to develop the toy and $10 to manufacture each toy?

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Solve for x: $5(3.4)x = 90$

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Solve for x: In(x) = 3

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A sum of $30,000 is invested in an account with an annual interest rate of 4%, compounded quarterly. What is the balance, in the account, in two years and nine months?

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Tracy wants to have $100,000, in ten years, as a down payment for the purchase of a house. She found a bank that pays 6% annual interest rate, compounded continuously. How much money should she invest now to reach her goal?

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The value of a new car, after t years, is modeled by the function V(t) = 36000(0.92)^t. What is the price of the car after two years?

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How long will it take for the value of the car to reach $30,000?

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What is the value of $x$ when $5(3.4x - 2.362) = 90$?

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What is the value of $x$ when $2*log_3(x+4) - 2*log_3(x) = 2$?

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What is the value of $log₂(3)$?

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What is the value of $V(0)$, given the function $V(t) = 36000(0.92)^t$?

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