The graph is a logistic growth function.
A logistic function often has an S-shape. It begins by increasing slowly, then increases faster and faster, and later levels off as it approaches a maximum carrying capacity.
From year 1 to year 9, the graph is rising and becoming steeper.
That means:
" the wild horse population is increasing "
and the slope is getting larger, so:
" the population is increasing faster and faster "
Therefore, the correct answer is:
# ( " A " )

The average rate of change measures how much the output changes per one unit of input.
Here:
t= " hours after 8:00 a.m. "
and
n(t)= " number of people at the park "
The two given points are:
A=(2,110)
and
B=(6,182)
This means:
At t=2hours after 8:00 a.m., there were 110people at the park.
At t=6hours after 8:00 a.m., there were 182people at the park.
Now calculate the average rate of change:
" Average rate of change " =(182-110)/(6-2)
=72/4
=18
Because the value is positive, the number of people is increasing.
So the correct interpretation is:
" The number of people at the park increases at an average rate of 18 people per hour. "

The scatterplot shows a decreasing pattern.
At first, the number of monthly crossings decreases quickly. Then the values begin to level off.
This type of pattern is characteristic of an exponential decay model.
A linear model would show points decreasing at a constant rate, forming an approximately straight line. Here, the decrease is not constant; it is steep at first and then slows down.
A logistic model usually has an S-shaped pattern, which is not shown here.
A polynomial model may curve, but the long-term leveling behavior shown in the scatterplot is best represented by an exponential decay function.
Therefore, the correct answer is:
# ( " D " )

The graph shows a linear relationship between:
" Number of boards "
and
" Total cost "
The cost of each additional board is the rate of change, or slope, of the line.
From the graph, two labeled points are:
(0#27)
and
(10#177)
This means:
When 0 boards are ordered, the total cost is $27.
When 10 boards are ordered, the total cost is $177.
Now calculate the slope:
m=(177-27)/(10-0)
m=150/10
m=15
So each additional board costs:
$15
Therefore, the correct answer is:
# ( " B " )

The value
r^2=0.96
indicates a strong fit because it is very close to 1. This means the regression model explains much of the variation in the traffic-frequency data.
However, we also need to check whether the prediction at
x=16.2
is a reasonable extrapolation.
From the scatterplot, the observed data values appear to extend to about:
x=14
The predicted value is slightly beyond the observed data range, but not extremely far beyond it.
Since x=16.2is still within a reasonable extrapolation range, and the model has a strong r^2value, the prediction is appropriate.
Therefore, the correct answer is:
# ( " C " )