Question

1. Cost of Tuition In 2000, the average cost of tuition
and fees at private four-year colleges was $16,200,
and in 2005 it was $20,100. Sketch a line that passes
through the points (2000, 16200) and (2005, 20100).
(Source: The College Board.)
2. Rate of Change in Tuition Calculate the slope of
the line in your graph. Interpret this slope as a rate of
change.
3. Modeling Tuition Find the slope–intercept form of
the line in your sketch. What is the y-intercept and
does it have meaning in this situation?
4. Predicting Tuition Use your equation to estimate
tuition and fees in 2001 and compare it

Answer 1

for the first one, label your x axis as years and your y axis as tuition amount. then plot the points

Answer 2

for the second one, slope = (y2 - y1) / (x2 - x1)

Answer 3

tell me what you get

Answer 4

the rate of the slope is 3/5

Answer 5

where did you get the 3 from?

Answer 6

the cordinates are (0,1) (5,4) right?

Answer 7

your coordinates should be:

(2000, 16200) and (2005, 20100)

Answer 8

i mean the slope of the line sorry

Answer 9

is 3/5

Answer 10

the slope and the rate of change are the same thing. to get the slope, you would calculate:

(21,600 - 16200) / (2005 - 2000)

Answer 11

im confused with how to solve part four

Answer 12

solve part 2 first

Answer 13

it will help you solve part 4

Answer 14

did you get an answer?

Answer 15

5/3900

Answer 16

let's break it down. what is

(21,600 - 16200)

Answer 17

3900

Answer 18

no, it's 5,400

Answer 19

oops sorry pushin wrong button

Answer 20

so we have

5,400 / (2005 - 2000) which is:

5,400 / 5 = 1080

Answer 21

so our slope is 1080, understand?

Answer 22

yes

Answer 23

okay, for 3 we need it in slope intercept form:

y - y1 = 1080(x - x1)

let's use (2000, 16200) and put them in for y1 and x1 respectively

y - 16200 = 1080(x - 2000)

y - 16200 = 1080x -2160000
y = 1080x - 2143800

Answer 24

im sorry im just having so much trouble with this whole problem. i get this, but step four, im just lost

Answer 25

okay, we're simply just going to put 2001 in for x in our equation.

y = 1080(2001) - 2143800

y = 17280

that was the cost of tuition in 2001 which was more $1080 more than in 2000 and 2820 less than 2005

Answer 26

Thank you so much, i am trying to re read through it all to really understand it

Answer 27

anytime! let me know if you have any questions

Answer 28

thank you again

Answer 29

my pleasure