Question

Rosa and Winston are seeing who can make the most money working

their new jobs this summer. Winston made 77.03 in the first month. If
Rosa finishes the summer with 352.42, how many more hours, at a
rate of 11.63 per hour, does Winston need to work to make more
money than Rosa?
Write an inequality that represents the situation, using x to represent
hours.
A) 11.63 x>77.03+352.42
B) 11.63 x<77.03+352.42
C) 11.63 x=77.03+352.42
D) 11.63 x < 77.03+352.42

Answer 1

To find out how many more hours Winston needs to work to make more money than Rosa, subtract Rosa's earnings from Winston's earnings. Then set up an inequality to represent the situation.

Step-by-step explanation:

To find out how many more hours Winston needs to work to make more money than Rosa, we first need to calculate the total amount of money Rosa made. The question states that Rosa finished the summer with $352.42. Now, we can subtract that amount from Winston's earnings to find the difference. Winston made $77.03, so the difference is $352.42 - $77.03 = $275.39.

Next, we need to find out how many hours Winston needs to work at a rate of $11.63 per hour to earn that difference. Let's represent the number of hours Winston needs to work as x. So, the inequality that represents this situation would be 11.63x > $275.39.

Therefore, the correct answer is A) 11.63 x > 77.03 + 352.42.