There are several synonyms for the word "show a rise" and these can be used to express changes in different contexts. Some of the common alternatives for "show a rise" include increase, surge, escalate, climb, advance, grow, multiply, expand, and augment. These words imply an upward trajectory in terms of quantity, value, or intensity, and can be used to describe changes in markets, economies, healthcare, education, technology, or any other sector. Depending on the context, different synonyms can be used to provide more nuanced descriptions of the changes observed. For example, "surge" can imply a sudden, dramatic increase while "grow" may suggest a gradual, steady rise.