Question

100 points. Two art museums are hosting new long-term exhibits. The number of daily visitors attending each exhibit is modeled by functions v and s . where n is the number of days since the exhibits opened. Which statement accurately describes this situation?
A. As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to the same amount as the number of daily visitors at the sculpture exhibit.
B. As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit
C. As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a higher amount than the number of daily visitors at the sculpture exhibiti
D. As the number of days increases, the number of daily visitors at both exhibits decreases to zero​

Answer 1

Answer:

Option A - The number of visitors is multiplied by (1+r) each year

Step-by-step explanation:

Given : The number of visitors to an art museum increases each year. The function V(t)=N(1+r)^t  represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.  

To find : Select the correct statement?

Solution :

We have given an exponential function,

The function V(t)=N(1+r)^t represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.  

As In year 0,

The initial visitors is  V(t)=N(1+r)^0=N

In year 1,

V(t)=N(1+r)^1=N(1+r)

In year 2,

 V(t)=N(1+r)^2

So, According to this the number of visors is multiplied by (1+r) each year.

Therefore, Option A is correct.

Answer 2

As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit, the correct option is B.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function representing the Visual Arts Exhibit is

V(n) = (800/x) +120

V(10) = 80+120 = 200

V( 50) = 16+120 = 136

V(100) = 8 +120 = 128

V(120) = 6.67 + 120 = 128.67

V(200) = 4 +120 = 124

The number of visitors in the Visual Arts Exhibit is decreasing with increasing number of days.

To know more about Function

https://brainly.com/question/12431044

#SPJ5