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NO.83 The number of people, P, in a festival audience is represented by the graph, with the number of hours since the beginning of the festival along the horizontal axis and the size of the audience along the vertical axis.

Point Arepresents an audience size of 402 for the first hour of the festival, or P(0)=402.
Which ordered pair represents a point on the graph?

NO.84 The graph shows the daily practice duration for a musician, where the number of days since the beginning of the month is along the horizontal axis and the number of minutes practiced per day is along the vertical axis.

Based on the graph, what was the practice duration for day 8?

NO.85 A set of data was gathered and used to create a model for the number of subscribers to a blog. The function model is f(x)=190× # 0.99 # ^x where xrepresents the number of years since 2003 and f(x)represents the number of subscribers.
What is the correct interpretation of the average rate of change of the number of subscribers from 2012 to
2015? Round to the nearest whole number, if necessary.

NO.86 The function P(t) represents the yearly profit, in millions of dollars, for a clothing store since opening. The graph of P(t) is shown.

How should the maximum value be interpreted?

NO.87 The number of employees under supervisor B is 13 more than the number of employees under supervisor A.
Let F(n)represent the number of employees under the two supervisors, where nis the number of employees under supervisor A and Fis the number of employees under supervisor B.
Which is the correct function to represent this relationship?

NO.88 A researcher collected data on the traffic frequency on a section of road. The results are shown in the scatterplot. A regression function is graphed with r^2=0.96. The predicted traffic frequency 16.2 hours after dawn is 70 cars per minute.

Is this prediction appropriate?

NO.89 A coach is placing an order for team shirts. The graph shows the total cost based on the number of shirts.
What is the cost of each additional shirt?
Exhibit:

NO.90 Consider the function
w(t)=0.03t^4-0.81t^3+7.55t^2-26.62t+44
which represents the number of workers, w, at a job site thours after 6:00 a.m.
What is the difference between w(4)and w(8)?

NO.91 As sacks are unloaded off a wagon, the total weight of the wagon and sacks changes. Each sack has the same weight. After 3 sacks are removed, the total weight of the cart and remaining sacks is 116 pounds. After 6 sacks are removed, the total weight is 101 pounds.
What is the weight of each sack?

NO.92 The function
c(t)=-0.01t^4+0.25t^3-2.33t^2+9.02t+8
represents the number of active shopping carts, c, on a website thours after 8:00 a.m.
What is the difference between c(6)and c(8)?

NO.93 As regulations change, the number of licensed sellers of a product decreases. The graph models the change in the number of licensed sellers over time.

What does the horizontal asymptote mean?

NO.94 The number of people auditioning for a game show is expected to be 4 times the number of people who auditioned last year. The function A(t) can be used to model the situation, where t represents the number of people who auditioned last year and A represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 330 people auditioned last year?

NO.95 The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.

Which town’s population is growing at a faster rate?

NO.96 The number of acres affected by an invasive species can be modeled using the logistic function f(x), where xrepresents the number of months since the species was introduced and f(x)represents the number of affected acres. The graph of f(x)is shown.

What happens as time progresses from month 2 to month 6?

NO.97 The graph shows the number of people waiting in a virtual queue to buy tickets for an event.
What does the horizontal asymptote mean?

NO.98 The value of an investment portfolio after x years is modeled by the function g(x)=3100(1.059) x
.
What is the value of the portfolio when x=10?

NO.99 As sacks are unloaded off a wagon, the total weight of the wagon and sacks changes. Each sack has the same weight. After 5 sacks are removed, the total weight of the wagon and remaining sacks is 135 pounds. After 9 sacks are removed, the total weight is 87 pounds. What is the weight of each sack?

NO.100 The scatterplot shows data on the population of rabbits in a nature preserve. The graphed regression function has an r^2value of 0.94.

What is the appropriate range of x-values for extrapolation?

NO.101 A company provides internet service to approximately 1,050 customers each year. The table shows the percentage of customers with fiber internet each year since 2020.
Years since 2020 Percent of Customers with Fiber
0 19
1 28
2 40
3 57
What was the approximate number of customers with fiber internet in 2023?

NO.102 The graph shows the estimated wait time, in minutes, based on the number of hours after 7:00 a.m.
What is the average rate of change of the wait time from point Ato point B?