Final answer:
The correct statements based on the given linear function graph are: Tim's age at the start of the graph is 40, and Tim's age at the end of the graph is 90.
Step-by-step explanation:
The linear function graphed below represents Tim's age in the years since he was married. From the graph, we can determine the following:
- a) Tim got married at the age of 30: This statement is not supported by the information given in the graph. We do not have enough information to determine Tim's age at the time of marriage.
- b) Tim's age at the start of the graph is 40: From the graph, we can see that the y-intercept (the point where the graph intersects the y-axis) is at age 40. So, this statement is correct.
- c) Tim's age during marriage is 70: From the graph, we can see that the slope of the line represents the rate at which Tim's age is increasing over time. The slope of the line in this graph is not steep enough to represent an increase of 40 years over the given time period. So, this statement is not correct.
- d) Tim's age at the end of the graph is 90: From the graph, we can estimate that the function reaches an age of 90 at the end of the given time period. So, this statement is correct.