Correct spelling, explanation: the word gauge means to measure, assess, or estimate something. Gauging interest refers to the act of assessing or measuring the level of interest people have in a particular topic, product, or event. On the other hand, the spelling gaging interest is not correct. The correct spelling is gauging interest with a u before the g. The term gauging interest has its etymological roots in the word gauge, which comes from the Old North French gauger and ultimately from the Old French jauge, meaning a measuring rod or a standard of measure.

Definition of gauging interest:
verb, refers to the process of assessing, measuring, or estimating the level of interest or enthusiasm that individuals or a group of people have in a particular topic, product, event, or idea
The marketing team conducted a survey to assess the demand for their new product, gauging interest among potential customers.
Before organizing the workshop, the event planners sent out a questionnaire to the target audience, gauging interest and preferences to tailor the content accordingly.

Collocations with gauging interest:
Some most commonly used collocations include:
1. Gauging interest among customers: refers to the process of assessing or measuring the level of interest customers have in a particular product, service, or marketing campaign.
The company conducted a survey, gauging interest among customers for their upcoming product launch.
2. Gauging interest in a project: describes the act of assessing or measuring the level of interest and support for a specific project or initiative.
Before proceeding with the project, the team conducted a feasibility study, gauging interest in the proposed ideas.
3. Gauging interest from investors: refers to the process of assessing or measuring the level of interest potential investors have in funding a business venture or startup.
The startup pitched their business plan to several investors, gauging interest and securing funding for their expansion.
4. Gauging public interest: describes the act of assessing or measuring the level of interest and support from the general public for a particular issue or topic.
The government conducted a series of public consultations, gauging interest and opinions on the proposed policy changes.

Incorrect spelling, explanation: the spelling gaging interest is a less common variant and considered a misspelling of the correct form gauging interest. While some might use the word gaging due to its phonetic similarity to the correct spelling, gauging interest is the preferred and widely accepted form. The word gauging is the present participle of the verb gauge, which means to measure, assess, or estimate something, including the level of interest people have in a particular topic, product, or event.