If you measure the average brightness and pulsation period of a Cepheid variable star,you can also determine its

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By measuring the period and brightness of a Cepheid variable star, you can use the period-luminosity relationship to determine the star's distance from Earth. This relationship is based on the fact that there is a correlation between the period (how quickly the star pulsates) and the luminosity (brightness) of the star. Therefore, the best choice in this case is C, distance. Age, rotation period, and mass cannot be determined solely from the period and brightness measurements of a Cepheid variable star.

If You Measure the Average Brightness and Pulsation Period of a Cepheid