SOLUTION: As the number of students grew, the school hired more teachers. Write an equation to show the relationship between teachers and students from the chart. S=students t=teachers S

Algebra.Com
Question 35124: As the number of students grew, the school hired more teachers. Write an equation to show the relationship between teachers and students from the chart. S=students
t=teachers
Students 100 200 300 400
Teachers 7 12 17 22
I can see that the number of teachers increases by 5 with every additional 100 students but for the first 100 students there are 7 teachers. I can not figure this out. I know that it has to be simple and I just can not see it. Thanks for the help.

Answer by kellytn78(2)   (Show Source): You can put this solution on YOUR website!
The equation is:
t = s/100 * 5 + 2
for example: 600/100 * 5 + 2 = t
6 * 5 + 2 = t
30 + 2 = t
32 = t
1000/100 * 5 + 2 = t
10 * 5 + 2 = t
50 + 2 = t
52 = t

RELATED QUESTIONS

Can someone help me understand this? The school system is trying to help their students... (answered by stanbon)
if the number of professors in a college is p and the number of students s, and there are (answered by jim_thompson5910)
1. An elementary school maintains a student to teacher ratio of 24 to 1. if the school... (answered by fractalier)
the ratio of female teacher to male teacher is 13:5. if there are 48 more female... (answered by LinnW)
Question 10: A school has 500 students and 30 English teachers and 20 math teachers. The... (answered by jorel1380)
a word problem: A school district has 5600 middle school students in five middle... (answered by rfer)
students in mr. einsteins science class complain about the length of his test. he argues... (answered by stanbon)
a hired bus is used to take teachers and learners on a trip. the number of teachers and... (answered by ikleyn)
Linear Inequalities The school board is investigating ways to hire a faculty for the... (answered by psbhowmick)