Why would congress have power under the civil rights act of 1964 to

Why would Congress have power under the Civil Rights Act of 1964 to require restaurants and hotels to not discriminate against interstate travelers on the basis of race, color, sex, religion, or national origin? Suppose the Holiday Restaurant near I-80 in Des Moines, Iowa, has a sign that says, “We reserve the right to refuse service to any Muslim or person of Middle Eastern descent.” Suppose also that the restaurant is very popular locally and that only 40 percent of its patrons are travelers on I-80. Are the owners of the Holiday Restaurant in violation of the Civil Rights Act of 1964? What would happen if the owners resisted enforcement by claiming that Title II of the act (relating to “public accommodations” such as hotels, motels, and restaurants) was unconstitutional?

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