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The graph shows the number of visitors to a museum over a seven-day period. The counts were taken twice each day. Which equation best models the graph? A. N = -2x2 + 20x + 58 B. N = -2x2 + 25x + 78 C. N = 2x2 + 20x + 58 D. N = 2x2 + 20x

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Lanuel

Based on the calculations, an equation which best models the graph is N(x) = -3x² + 22x + 52 = 0.

The standard form of a quadratic equation.

In Mathematics, the standard form of a quadratic equation is given by ax² + bx + c = 0.

Taking the data values for the graph as follows:

                                 Museum Visitors

Day of Week, x:                  1   2   3   4   5   6   7

Number of Visitors, N(x):   71 84 91 92 87 76 59

For each day of the week, we would write the quadratic equation as follows:

f(x = 1) = a(1)² + b(1) + c = 71 = a + b + c    .....equation 1.

f(x = 2) = a(2)² + b(2) + c = 84 = 4a + 2b + c    .....equation 2.

f(x = 3) = a(3)² + b(3) + c = 91 = 9a + 3b + c     .....equation 3.

Solving the equations simultaneously, we have:

a = -3

b = 22

c = 52

Therefore, the quadratic equation is given by:

N(x) = ax² + bx + c = 0.

N(x) = -3x² + 22x + 52 = 0.

Read more on quadratic equation here: brainly.com/question/1214333

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