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Concept explainers
The bar graph shows the ratings of American Idol from season 1 (2002) through season 9 (2010).
a. Let x represent American Idol's season number and let y represent the average number of viewers, in millions. Use a graphing utility to draw a
b. Use the quadratic regression feature to find the quadratic function that best fits the data. Round all numbers to two decimal places.
c. Use the model in part (b) to determine the season in which American Idol had the greatest number of viewers. Round to the nearest whole number. According to the model, how many millions of viewers were there in that season? Round to one decimal place.
d. How do the results obtained from the model in part (c) compare with the data displayed by the graph?
e. Use a graphing utility to draw a scatter plot of the data and graph the quadratic function of best fit on the scatter plot. Can you see why projections based on the graph have the producers of American Idol looking for a shake-up?
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Chapter 3 Solutions
ALGEBRA+TRIG.(LL)W/ACCESS<IP>
- Write a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forwardA vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 690 square feet. Find the width of the walkway (x) if the garden measures 14 feet wide by 18 feet long. Write answer to 2 decimal places. (Write the number without units). Hint: add 2x to each of the garden dimensions of 14 x 18 feet to get the total area for the length multiplied by width.arrow_forwardSolve x-1 x+2 = 12 3 4 Your Answer: Answerarrow_forward
- Find the solutions to the following equation 21x²+5x=6 ○ a) -3/7, 3/2 ☐ b) -2/3, 3/7 ○ c) -7/3, 3/2 ○ d) -2/3, 7/3arrow_forwardListen Solve the quadratic equation. Write the one solution, do not write x =. 2 x²+6x+9= 0 বarrow_forwardSolve the rational equation 14 1 + x-6 x x-7 x-7 ○ a) x = 1, x = 8 ○ b) x = 1 ○ c) x = 7 ○ d) x = 1, x = 7arrow_forward
- Solve the absolute inequality | x + 5 > 3 ○ a) (-∞, -8] U[-2, ∞0) ☐ b) (-8, -2) c) (-2, ∞0) ○ d) (-∞, - 8) U(-2, ∞0)arrow_forward1) Listen Describe the error in the problem X 3 X x 3 - 2 = 25x = 0 25x 25 x = ±5arrow_forwardA falling object travels a distance given by the formula d = 6t + 7t² where d is in feet and t is the time in seconds. How many seconds will it take for the object to travel 115 feet? Round answer to 2 decimal places. (Write the number, not the units). Your Answer:arrow_forward
- Listen Solve the quadratic equation. Write the smaller answer first. 2 Xx - 5x = 24 x = Α x =arrow_forwardSolve the absolute equation |2x = 4| = 10 ○ a) x = -7, x = 3 ○ b) x = -2, x = 6 ○ c) x = -3, x = 7 ○ d) x = 7arrow_forwardFind a rational inequality that has the solution set (-2, 5] О a) x-5 x+2 b) x+5 x-2 ΛΙ ≥ 0 < 0 VI О c) x-5 x+2 ≤0 VI ○ d) x +2 x-5 <0arrow_forward
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