Question

The equation yˆ=−5.131x 2+31.821x−3.333 approximates the number of people standing in line to catch a commuter train x hours after 5 a.m.What is the best estimate for the number of people in line at 7 a.m.?
23
27
32
40

Answer 1

Answer:

40

Step-by-step explanation:

The other three numbers are low.

Answer 2

For this case we have the following equation:
 $y = -5.131x ^ 2 + 31.821x - 3.333$
 When it's 5 a.m. then x = 0
 Therefore, when it is 7 a.m. then x = 2.
 Substituting x = 2 in the equation we have:
 $y = -5.131 * (2) ^ 2 + 31.821 * (2) - 3.333 y = 39,785$
 Rounding to the nearest whole number:
 $y = 40$
 Answer:
 the best estimate for the number of people in line at 7 a.m. is:
 y = 40