This graph is the residual plot associated with a scatterplot of concentration against distance from a roadway (in km) for the change in the level of a pollutant from car exhausts as you go away from the road.

Which of the following statements is consistent with this evidence?

One of the factors affecting used car price is the odometer reading that shows what distance (km) the car has been driven prior. The following equation shows their relationship

y = 28880 - 0.05x

where y is the price ($) of the used car and x is the odometer reading (km). The model indicates that 

Choose ALL the correct answers

The graph below shows the HIV virus load in an individual every week following an infection. From the general appearance of this relationship, which of the following statements is most TRUE?

If 10^0.5 = 3

Calculate  log₁₀(3)

Give your answer to ONLY one (1) decimal place.

The initial population of a town is 12,000 and it grows with a doubling time of 40 years.

What will be the population of the town in 80 years from now?

Give your answer to the nearest integer and do not include a comma.

The price of petrol is decreasing by 2 cents per litre per week. If the price of petrol today is $2.28 per litre, what will the price of petrol per litre be in 10 weeks?

The price of petrol is decreasing by 2 cents per litre per week. This pattern of change is best described as:

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.