Question

2092 Jessica earns $26 for a short three-hour shift and $65 for a long x -hour shift. Given that hourly rates for short and long shifts are the same find the value of x.

Answer 1

To find the value of x, set up an equation based on the given information. Multiply both sides by x, then divide by 26 to find x = 2.5.

Step-by-step explanation:

To find the value of x, we can set up an equation based on the given information. Since the hourly rates for short and long shifts are the same, we can compare the earnings for a short shift and a long shift. For a short three-hour shift, Jessica earns $26. For a long x-hour shift, she earns $65. Setting up the equation: 26 = 65/x. Multiplying both sides by x, we get 26x = 65. Dividing both sides by 26, we find that x = 2.5.

Answer 2

Jessica earns $26 for a 3-hour short shift, which means she earns $8.67 per hour. To find the duration of her long shift that earns her $65, we divide $65 by her hourly rate of $8.67, resulting in a 7.5-hour long shift.

Step-by-step explanation:

The student has asked how to find the value of x, which represents the number of hours Jessica works during a long shift. Given that Jessica earns $26 for a 3-hour short shift, we can calculate her hourly rate by dividing $26 by 3, which gives us $8.67 per hour. To find the value of x, we can set up the equation based on the fact that she earns $65 for a long shift, at the same hourly rate. The equation is then $8.67 * x = $65.

To solve for x, we divide $65 by $8.67, which gives us:

x = $65 / $8.67

x = 7.5

Therefore, Jessica works 7.5 hours on a long shift.