Question

The expression 9.00x+4.50y represents the total amount of money Harriet earns at her two jobs, where x represents the number of hours worked at job X and y represents the number of hours worked at job Y. Which shows an equivalent expression to the given expression and correctly describes the situation?

4.50(2x+y), which shows that Harriet earns twice as much per hour at job X than job Y.

4.50(2x+y), which shows that Harriet earns 4.50 times as much per hour at job X than job Y.

13.50xy, which shows that Harriet earns $13.50 each hour she works.

13.50xy, which shows that Harriet earns $13.50 every two hours she works.

Answer 1

The equivalent expression that correctly describes the situation is:

13.50xy, which shows that Harriet earns $13.50 for each hour she works.

This expression represents the total amount of money Harriet earns at both jobs, where x represents the number of hours worked at job X and y represents the number of hours worked at job Y. The coefficient of xy, which is 13.50, represents the amount of money Harriet earns per hour, regardless of which job she is working. Therefore, this expression accurately reflects the situation described