WGU Applied Algebra (C957) Exam Questions

The graph shows a decreasing exponential function.

The horizontal axis represents:

The vertical axis represents:

The graph starts near new user accounts per day and decreases over time. However, it does not decrease toward . Instead, the graph levels off near a horizontal value around:

This horizontal value is the horizontal asymptote.

A horizontal asymptote shows the long-term value the function approaches. Since the asymptote is above , the model predicts that the number of daily new user accounts approaches a positive value, not zero.

So the justified statement is:

The function is:

This is a linear function in the form:

where:

and

In this function:

The negative sign means the fish population is decreasing.

The number tells us the amount of decrease per month.

So the fish population is decreasing by:

The value is not the rate of change. It represents the starting fish population at the beginning of the year, when :

Therefore, the correct interpretation is:

So the correct answer is:

The regression model has:

This means the model is a very strong fit for the data because is close to .

However, a strong value does not automatically make every prediction appropriate. We also have to check whether the -value is within a reasonable extrapolation range.

The data shown on the graph appear to extend to about:

The prediction is for:

This is far beyond the observed data range. Even though the model fits the known data very well, predicting too far beyond the data can be unreliable.

The correct statement is that the value indicates a strong fit, but is more than of the range beyond the maximum observed value.

Therefore, the correct answer is:

The graph shows population in thousands, and the horizontal axis represents:

Point is located at approximately:

Since represents years since 1995:

So point corresponds to the year:

The instantaneous rate of change at point is:

Because the vertical axis is measured in thousands, this means:

Convert thousands to actual animals:

So in 2007, the population was increasing by approximately:

This question asks which town's population is growing at a faster rate.

Since both population graphs are straight lines, we compare their slopes.

The slope of a line represents the rate of change:

From the graph:

Town A starts at about thousand people and increases at a rate of about thousand people per year.

Town B starts at about thousand people and increases at a rate of about thousand people per year.

Even though Town A starts with a larger population, the question asks about the growth rate, not the starting population.

Compare the rates:

So Town B is growing faster than Town A.