Question

Verifying a Solution to a Real-World Scenario
Labron makes $100 per week and takes no vacation during the entire year. His friend, Jordan, makes $4800 per year at the same weekly rate. Jordan takes x vacation weeks per year.

 Note: There are 52 weeks in a year.

This equation represents how to find Jordan’s number of vacation weeks.

  100(52 – x) = 4800

Labron says that Jordan takes 4 weeks of vacation each year. Is he correct? Check all that apply.
Yes, he is correct because substituting x = 4 into the equation yielded a true statement.
Yes, he is correct because substituting x = 4 into the equation yielded a false statement.
No, he is incorrect because substituting x = 4 into the equation yielded a true statement.
No, he is incorrect because substituting x = 4 into the equation yielded a false statement.

Answer 1

Yes, he is correct because substituting x = 4 into the equation yielded a true statement.

Check: 100(52 − 4) = 100(48) = 4800, which matches Jordan’s yearly pay.