Question

The table below shows the number of visitors to a museum over a seven day period.

Museum Visitors
Day of Week, x 1 2 3 4 5 6 7
Number of Visitors, N 76 89 94 91 80 61 34

Which equation best models this set of data?
A.
N = 25x + 51
B.
N = 4x + 72
C.
N = -4x2 + 80
D.
N = -4x2 + 25x + 55

Answer 1

The best model is:}
D.
N = -4x² + 25x + 55

because:
day 3, x = 3
N = -4*3² + 25*3 + 55
N = -36 + 75 + 55
N = 94
Day three the number of visitors = 94

another:
day 7, x = 7
N = -4*7² + 25*7 + 55
N = -196 + 175 + 55
N = 34
Day seven the number of visitors = 34

Answer:
D)  
N = -4x² + 25x + 55