Question

Hurry I need the answers plz and how u got it

1. There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois were proportional to that of Ohio, how many public school teachers would we expect Illinois to have? (Round to the nearest whole person. Do not include units on your answer.) Show how u got ur answer


2.. There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Write a meaningful sentence about how many public school teachers Ohio has per 10,000 people


3... 58% of all college graduates in 2016 were women. If there were 3.9 million graduates in the US that year, how many were women?
(Write your answer in standard notation. Do not include units on your answer.)


4... There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. How many public school teachers are there per capita in Ohio?
(Express your answer as a decimal rounded to the thousandths place.)

5... An “A” is considered 4.0, a “B” is 3.0, a “C” is 2.0, a “D” is 1.0 and an “F” is 0.
A student receives the following grades.

Course Credits Grade
Psychology 3.0 B
History 3.0 A
Biology 4.0 A
English 3.0 D



What is his/her grade point average for the semester?

(Round your answer to the nearest hundredth.)

Answer 1

There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?

This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as

`(Teachers)/(Population)` and we can use this to express both of our values. So, for Ohio, we have
`(122,100)/(11,600,000)` and for Illinois we have
`(x)/(12,900,900)`. Now, because they are proportional, we can set them equal to each other and we get
`(122,100)/(11,600,00) = (x)/(12,900,000)`. Now we can cross multiply to get
`$11,600,000x=1446090000000$` . To get the
`$x$` alone on one side, we divide by
`$11,600,000$` and we get 124,662.931034, which is about equal to 124,663.

Therefore, we expect Illinois to have 124,663 public school teachers