The number of new user accounts per day on a website is modeled by a decreasing exponential function. The graph of the function is shown.

Which statement is justified considering the location of the horizontal asymptote?

The function P(t)represents the daily profit, in hundreds of dollars, for a hardware store since opening. The graph of P(t)is shown.

How should the maximum value be interpreted?

The graph shows the number of customers, C(t), showing up to a store, where the number of hours since opening is along the horizontal axis and the number of customers showing up to the store each hour is along the vertical axis.

How can the concavity be described from t=6.2to t=10.1?

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?

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)?

The function V(t)represents the number of travelers, V, in a travel depot thours after 7:00 a.m. The graph of V(t)is shown.

What does V(2)represent?

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?

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?

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?

The weekly number of players, P, in hundreds, on a gaming website is modeled by the graph. The horizontal axis shows the number of years since the website was launched.

When did the website reach the minimum weekly number of players?

The function d(x)=14+65xrepresents the distance, in meters, from a tower to an object at time x, in seconds.

What is the value of d(1.5)?

After a water tank starts leaking, the amount of water in the tank is modeled by the exponential function that is graphed.

Which statement is justified considering the location of the horizontal asymptote?

The graph shows the number of people waiting in a virtual queue to buy tickets for an event.

What does the horizontal asymptote mean?

A person makes down quilts to sell.

The graph shows the functions that model the cost and revenue.

How many down quilts need to sell to break even/start making a profit?

The function a(x)represents the value of an investment account, where xis the number of years since the account was opened. The graph of the function is shown.

What is the total value when x=4?

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.

The number of members of a religious organization can be modeled using the logistic function f(x), where xrepresents the number of years since the organization was started and f(x)represents the number of members. The graph of f(x)is shown.

What is one range of values for which the graph is concave down?

The graph shows the weekly profit in hundreds of dollars for a coffee shop. The horizontal axis represents the number of years since the coffee shop opened.

What is the correct interpretation of the minimum value?

The function f(n) represents the relationship between the distances traveled by two vehicles, where n is the distance traveled by vehicle A and f is the distance traveled by vehicle B. The distance traveled by vehicle B is 17 more than the distance traveled by vehicle A.

Which function represents this situation?

The given function represents the price of a commodity, p, in dollars, based on the number of months, m, since the beginning of 2020.

p(m)=5m+5

What is the average rate of change of the price over the interval m=1to m=10?

The scatterplot shows data on the number of visitors to a resort each week since opening. A regression function is graphed with r^2=0.99. The predicted number of visitors after 16.4weeks is 38.6.

Is this prediction appropriate?

A factory mixes two colors, red and yellow, to create a dye.

The graph shows the relationship between the amounts of each dye, where rrepresents the amount of red dye and yrepresents the amount of yellow dye.

What is the correct interpretation of the rate of change?

A cart is being loaded with boxes, and each box has the same weight. After 4 boxes are loaded, the total weight of the boxes and cart is 116 pounds. After 9 boxes are loaded, the total weight is 161 pounds.

What is the weight of each box?

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.

What was the practice duration for day 9, based on the graph?

The function P(t)represents the weekly profit, in thousands of dollars, for a rental store since opening. The graph of P(t)is shown.

When did the store have its maximum weekly profit?

The figure shows the graph of x(t), which represents the number of users, x, watching a live video thours after 9:00 a.m.

Which interpretation of the concavity between t=3.2and t=5.7is correct?

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?

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?