By Comparing Globular Clusters, You Find That Cluster A's RR

Multiple Choice

By comparing globular clusters, you find that Cluster A's RR Lyrae stars are 100 times fainter than Cluster B's RR Lyrae stars. You know that Cluster A's stars are 1.5 times more luminous than Cluster B's stars, because Cluster A is more metal-rich and somewhat younger. How do the clusters' distances compare?

A) Cluster A is 65 times farther away than Cluster B.
B) Cluster A is 12 times farther away than Cluster B.
C) Cluster A is 10 times farther away than Cluster B.
D) Cluster A is seven times farther away than Cluster B.
E) Cluster A and Cluster B are at approximately the same distance.