Question

My niece, Rayah, paints faces at an annual carnival. Her goal last year was to earn $100, she spent $15 on supplies and she worked for 2.5 hours at the carnival. Write and equation showing how much should would have to earn in the 2.5 hours to make her goal. (don't forget she already spent money and needs to make that back too). Check your solutions.

Answer 1

Rayah needs to earn a total of $115 to meet her $100 goal and cover $15 in supplies. By working for 2.5 hours, she should charge $46 per hour to achieve this. A simple equation to depict this is 115 = 46 * 2.5, which confirms her desired hourly rate.

Step-by-step explanation:

To determine how much Rayah needs to earn during her 2.5 hours of work at the carnival to meet her goal, we have to account for the money spent on supplies as well as her earnings goal.

If Rayah's goal is to earn $100 and she spent $15 on supplies, she needs to make back the $15 plus the $100 goal, summing up to $115. Since she works for 2.5 hours, we can set up the equation E = r * t, where E is the total earnings she needs to make, r is the rate she must charge per hour, and t is the time she works in hours.

To find out her hourly rate needed, we set up the equation as follows: 115 = r * 2.5. To solve for r, we divide both sides of the equation by 2.5, yielding r = 46. This means Rayah would need to charge $46 per hour to meet her goal after accounting for the cost of supplies. As a check, we can multiply $46 by 2.5 hours to ensure it sums to $115.