Given the function [tex]f(x)=6|x-2|+3[/tex], for what values of [tex]x[/tex] is [tex]f(x)=39[/tex]?
Answer (3)
That would be 100/15, about 6,7%.
The percent of the school that represents the number of teachers at Applewood Elementary, given a student to teacher ratio of 14:1, is approximately 6.7% when rounded to the nearest tenth.
To calculate the percent of the school that makes up the number of teachers at Applewood Elementary with a student to teacher ratio of 14 : 1, you can think of this ratio as representing a total of 14 students plus 1 teacher, summing to 15 individuals. The teacher represents 1 out of these 15, which is a fraction that can be converted into a percent to find out what proportion of the school population is teachers.
First, set up the fraction with the teacher as the numerator and the total number of individuals as the denominator:
Teacher proportion = 1 / (14 + 1) = 1 / 15
Next, convert this fraction into a percent:
Percent of teachers = (1 / 15)
Percent of teachers = 0.0667 or 6.67%
After rounding to the nearest tenth, the percent of teachers at the school is approximately 6.7%.
This method of converting a ratio into a percent is similar to the process used when calculating parts of populations in various scenarios, such as the example given where each student in a 30-student class represents about 3% of the class population.
At Applewood Elementary, approximately 6.7% of the school population consists of teachers. This is calculated based on a student-to-teacher ratio of 14:1. The percentage is found by taking the number of teachers over the total number of people and converting that fraction into a percentage.
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