Let's break down the two questions you shared.

1. Question 1:

   • The graph presented shows data that increases more rapidly at the beginning and slows down over time. This pattern is characteristic of a logarithmic function. In this case, the correct regression function would be Logarithmic, not Linear.

2. Question 2:

   • The scenario asking which situation would model with a linear equation involves a consistent change. The only scenario here that shows a constant, linear relationship is:
     • Total cost of gas at a price of $2.65 per gallon. This would be modeled linearly because the cost increases by the same amount for each additional gallon purchased.

Let me know if you need further explanations or have any additional questions! Here are 5 questions related to this content:

1. What are the general characteristics of a logarithmic function's graph?
2. How do you distinguish between a linear and exponential relationship in graphs?
3. Can you give an example where an exponential regression would be more appropriate than a logarithmic one?
4. How would you write a linear equation for calculating the total cost of gas based on price per gallon?
5. What is the general form of a logarithmic equation?

Tip: When dealing with graphs, note how steep or slow the data points grow; this helps in identifying whether a function is logarithmic, linear, or exponential.