The table contains data on the number of people visiting a historical landmark over a period of one week. Which type of function best models the relationship between the day and the number of visitors? A. A quadratic function with a positive value of a
B. A square root function
C. A linear function with a positive slope
D. A quadratic function with a negative value of a

Hence , it is to be quadratic function where a has to be less than zero.

Given that ,

The table contains data on the number of people visiting a historical landmark over a period of one week.

We have to find,

The relationship between the day and the number of visitors.

According to the question,

And where x = no. of days = 1

y = no. of visitors = 45

45 = a + b

45 = a + b

And When x = 2 and y = 86

86 =

Solving the equation for the values of a and b.

From equation 1

45 - a = b

Put the value of b in equation 2

86 = + 45 - a

86 - 45 =

41 = a ( )

a = 100

Put the value of a = 100

45 = 100 + b

45 - 100 = b

b = -55

The required equation is y = 100 -55.

When  x = 4

And when x = 5

y = 168 ( approx )

Therefore, 168 ≠ 158

Since the function rises less and less in later stage , it can not be a first order function.

So, it is to be quadratic function where a has to be less than zero.

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what i would say the best answer is a. 40.5