The hourly wages at a local business are between $8.60 and $14.80 depending upon the job. Write an absolute value inequality describing the possible hourly wages of the employees.
Okay, so i already know that the inequality is like 8.60 is < or = to x is < or = 14.80. Now i have to find the midway point. Can someone help me with that ? Thank you(:
Take the average of 8.60 and 14.80.
That means dividing the sum by 2.
To find the midway point between two values, you can calculate the average of the two values. In this case, you need to find the average of $8.60 and $14.80.
To calculate the average, you add the two values together and then divide the sum by 2:
($8.60 + $14.80) / 2 = $23.40 / 2 = $11.70
So, the midway point between $8.60 and $14.80 is $11.70.
Now, let's write the absolute value inequality describing the possible hourly wages of the employees. Based on the given information, the possible hourly wages, x, can be given as:
| x - $11.70 | ≤ $11.70
This inequality states that the absolute value of the difference between the hourly wage, x, and the midway point, $11.70, should be less than or equal to $11.70. Hence, the possible hourly wages at the local business can range from $11.70 - $11.70 to $11.70 + $11.70, which simplifies to $0 to $23.40.