53. The menu developers for a chain of coffee shops have conducted experiments to see how long customer take to make a drink choice, based on the number of drinks on the menu. Normalizing so that th average time needed to make a choice given just two drinks is 1 time unit. the average times needed to make a choice given n drinks on the menu are shown in the table below. Number of choices, 2 3 4 5 6 7 average time to make a choice 1 1.4 1.7 2 2.2 2.3 (a) (5 points) Use regression to find a function that models the data. Round the values of the coeffi- cients to the nearest thousandth. (b) (3 points) Using your model, predict the average time to make a choice if there are 10 drinks on the menu. ​

the answer is 99.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true