Match the plot description with the relevant relationship. 

Since 1990, the number of arrivals of migratory birds to a wetland has been monitored. Based on the data collected over the years until 2022, a model was created to predict the size of the colony of migratory birds that would come to the wetland each year. The model was found to be

P = 3250(0.98)^t 

Where P is the size of the colony (number of birds), and t is the time (t = 0 for year 1990). What do we know from this model about the number of arrivals of migratory birds to the wetland?

Select all the correct answers.

Below is a plot of data showing the relationship between the nitrogen oxide and carbon dioxide emissions from 46 different cars.

Solve for x in the equation:

2^x = 30

Hint: take log to base 10 of both sides and rearrange for x.

Give your answer to ONLY three (3) decimal places.

The initial population of a town is 15,500 and it grows with a doubling time of 15 years.

What will be the population of the town in 30 years from now?

Give your answer to the nearest integer.

The value of a building is rising by $10,000 per year. If it is worth $200,000 today, what will it be worth in 3 years?

The value of your car is decreasing by 10% per year. If the car is worth $10,000 today, what will it be worth in two years? 

The value of a building is rising by $10,000 per year and it is worth $500,000 today. This pattern of change is best described as:

The value of your car is decreasing by 10% per year. The pattern of change is best described as

Scatter plots and residual plots were used to assess linear, exponential, and power-law relationships between two variables, x and y, in the dataset above. Answer the questions below.