13. The price of attending college is increasing. Using data from 2000-01 13 aca

Question

13. The price of attending college is increasing. Using data from 2000-01 13 academic year through 2010-11 academic year, the cost of attending a two-year college can be modeled with a linear equation of the formm y 170.19x 6224 where x is in years after 2000-01. Which of the following is a correct interpretation of the slope and y-intercept? List all that apply. (a) The cost to attend a 2-year college was around $6224 in 2000-01. (b) The cost to attend a 2-year college was around $170 in 2000-01. (c) The y-intercept is meaningless. (d) The costs increased by about $170 per year since 2000-01 (on average). (e) The costs increased by about $6224 per year since 2000-01 (on average).

Explanation / Answer

The cost of attending college is given by

170.19x + 6224 , x = no. of years after 2000-01

(a) in 2000-01 , x =0  

so the cost will be

= 170.19*0 +6224

= 6224 $

so it applies

(b) no since it is 6224 $ as seen in part "a" so it is not true.

(c) at "y" intercept , x = 0 , so it means it gives the value of attending 2 yr college in the year 2000-01, so it is not meaning less.

(d) total cost increased in the year 2010-11 is

in this year x=10, so

= 170.19*10 + 6224

=1701.9+6224

=7925.9

so total numbers of year after 2000-01 to 2010-11 = 11

so the average cost rise per year wll be = 7295/11

663.18

so it does not applies

(e) as seen in the previous part average cost rise is 663.18

so this also does not applies.

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