Final answer:
The correct inference from the passage is that the family had a diverse collection of magazines, as the mother acquired them from many different houses she cleaned each week.
Step-by-step explanation:
The inference that can be derived from the passage stating, "My mother got these magazines from people whose houses she cleaned. And since she cleaned many houses each week, we had a great assortment," is option (c) The family had a diverse collection of magazines. This conclusion is supported by the information provided, which suggests that the family received magazines from various houses, indicating a variety due to the mother's numerous cleaning jobs each week. This inference is an example of reasoning from specific instances to generalities. Other options, such as the mother's feelings toward her job, the origin of the magazines, or the exact number of houses she cleaned, are not directly supported by the text provided.