THE EXPRESSION:553.7X+27,966
CAN BE USED TO APPROXIMATE THE AVERAGE ANNUAL SALARY IN DOLLARS OF PUBLIC SCHOOL TEACHER IN THE YEAR 1985+X
1. WHAT WAS THE AVERAGE TEACHERS SALARY IN DOLLARS OF PUBLIC SCHOOL TEACHER IN 1993?
2. IN WHICH YEAR WILL THE AVERAGE SALARY REACH $45,000?
To find the average teacher's salary in dollars of public school teachers in 1993, we need to substitute the value of "X" in the expression 553.7X + 27,966 with the corresponding year. In this case, "X" represents the number of years after 1985.
1. Average Teacher's Salary in 1993:
To calculate the average teacher's salary in 1993, we need to substitute the value of "X" with (1993-1985) = 8.
Substituting the value of "X" into the expression:
Average salary in 1993 = 553.7(8) + 27,966
Calculating the equation:
Average salary in 1993 ≈ 4,428.8 + 27,966
Therefore, the average teacher's salary in dollars of public school teachers in 1993 is approximately $32,394.8.
2. Year when the Average Salary reaches $45,000:
To find the year when the average salary will reach $45,000, we need to substitute the value of "X" in the expression 553.7X + 27,966 with the given average salary. In this case, we need to solve the equation for "X".
Substituting the given average salary into the expression:
$45,000 = 553.7X + 27,966
Rearranging the equation:
553.7X = $45,000 - 27,966
Calculating the equation:
553.7X = $17,034
To solve for X, divide both sides of the equation by 553.7:
X ≈ $17,034 / 553.7
Rounding the result, we find that X is approximately 30.75.
Adding 30.75 to 1985:
Approximately, in the year 2016.75 or 2017, the average salary will reach $45,000.