Question

In 2009​, there was an average of 318 high school students per guidance counselor. The average number of students per counselor is decreasing by about 27.9 students per counselor each year. Let a be the average number of students per guidance counselor at t years since 2009.
a. Find an equation of a linear model to describe the situation.
b. Predict the average number of students per counselor in 2015.
c. The recommended guideline for the ratio of students per counselor is 200 students per counselor. Predict when that ratio will be reached.

Answer 1

Answer:

A)equation=A=318-27.9·T

b)A=318-27.9·6=  A=150.6 students per counselor

C)200=318-27.9·T= 4.2 Years

Step-by-step explanation:

A) A=318 students per guidance counselor, that number decreases

T= time that passed from 2009

Then the equation would be like==

A(students per counselour)= 318(Number in 2009)-27.9(Less every year)·T

b)Resolve thje equation changing T by 6---->Thats because 2015-2009=6

A=318-27.9·6= 150.6 students per counselor.

C) Resolve the equation changing A by 200

200=318-27.9·T=  (200-318)÷(-27.9)== 4.2 years(T)