Final answer:
The line graph shows the amount of rainfall in inches for 12 days. Statement (c) is true: it rained every day.
Step-by-step explanation:
The line graph shows the amount of rainfall in inches for 12 days. Based on the graph, we can determine the following:
a. It rained more than 1.5 inches on 6 out of the 12 days, which is less than half the days. Therefore, statement a is not true.
b. The average amount of rainfall can be calculated by finding the total amount of rainfall (sum of all data points on the graph) and dividing it by the number of days. Based on the graph, the total amount of rainfall is 10 inches (2 + 1 + 1 + 0.5 + 1.5 + 0 + 0 + 0 + 0.5 + 1 + 1 + 1). Dividing 10 inches by 12 days, we get an average of approximately 0.83 inches. Therefore, statement b is not true.
c. It rained on all 12 days, as there are no data points with a rainfall amount of 0 inches. Therefore, statement c is true.
d. The amount of rainfall does not steadily increase throughout the days. It fluctuates, sometimes increasing and sometimes decreasing. Therefore, statement d is not true.
Based on the above analysis, the correct statement is (c). It rained every day.