in 1994, the minimum jeepney fair in city of san fernando pampanga was php4. in 2006, the minimum jeepney fare was php7. a. name two ordered pairs that satisfy this situation? b. find the rate of change of the minimum jeepney fare? c. write the equation of the trend? d. what would be the likely minimum jeepney fare in 2022?
Answers
Given : in 1994 minimum jeepney fair in city of san fernando pampanga was php4
in 2006, the minimum jeepney fare was php7
To Find : a. name two ordered pairs that satisfy this situation?
b. find the rate of change of the minimum jeepney fare?
c. write the equation of the trend?
d. what would be the likely minimum jeepney fare in 2022?
Solution:
Ordered pair given
(1994 , 4) , (2006 , 7)
Slope = ( 7 - 4)/(2006 - 1994) = 3/12 = 1/4
Every 4 Years , Minimum fair increased by 1
rate of change of the minimum jeepney fare = 1/4 = 0.25
Few more ordered pair satisfying
(1998 , 5) , (2002 , 6)
equation of the trend
=> y - 4 = (1/4)(x - 1994)
=> 4y - 16 = x - 1994
=> 4y = x - 1978
likely minimum jeepney fare in 2022
x = 2022
=> 4y = 2022 - 1978
=> 4y = 44
=> y = 11
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