Based on the description of the graph and the provided answer choices, the valid claim is:
The greatest one-year increase in tuition occurred from 1997 to 1998.
This is typically a claim that can be verified by examining the change in tuition amounts from year to year. The other options cannot be determined to be necessarily valid based on a standard interpretation of a line graph without specific numerical values or additional data:
- "The rate of increase was the same from year to year" cannot be determined without knowing the exact tuition amounts for each year.
- "Tuition rates doubled between 1996 and 1999" is unlikely since tuition increases are usually gradual, and if all values are within the range provided, they likely did not double.
- "Tuition rates will continue to increase over the next 5 years" is a predictive statement that cannot be verified based on historical data alone.
Thus, the claim regarding the greatest one-year increase is the only valid statement based on the information provided.