Question

the table below gives the average cost, x (to the nearest hundred) of tuition and fees, y, at a four year college

Answer 1

Answer:

32 or the year 2023

Step-by-step explanation:

if you plug in "22" you will see you do not get (at least) $15,000. But if you plug in 32 then you get $15,342.691. And that would correlate to the year 2023.

Answer 2

Modeling the data using a quadratic regression calculator, the regression equation obtained is y(x) = 4.46x² + 153.93x + 5403.72

• Tuition would reach $15000 by 2023

The data can be written thus :

Taking 1991 as year 1 ;

1 ___ 5500

4 ___6200

8 ___ 7000

10 __ 7200

15 __ 8800

18 __ 9600

Using a quadratic regression calculator, the quadratic model is y(x) = 4.46x² + 153.93x + 5403.72

2.)

The year when tuition fee will reach $15000 :

Using the model ;

15000 = 4.46x² + 153.93x + 5403.72

4.46x² + 153.93x - 9596.28 = 0

Using calculator, the roots of the function are :

x = - 66.74 and x = 32.23

Number of years cannot be negative ; hence; number of years would be 33 years

• 1990 + 33 = 2023

Hence, tuition would reach $15000 by the year 2023.

Learn more : https://brainly.com/question/11316679