Score: 0 of 1 pt 3 of 4 (2 complete) HW Score: 50%, 2 of 4 pts 2.2.29 Next Qunst

Question

Score: 0 of 1 pt 3 of 4 (2 complete) HW Score: 50%, 2 of 4 pts 2.2.29 Next Qunstion Question Help * The bus fare in a cily is $1.75 People who use the bus have the option of purchasing a monthiy coupon book for $20.00. With the coupon book, the fare is reduced to $0 75. Determine the number of tmes in a month the bus must be used so that the total monthly cost without the coupon book is the same as the fotal monthly cost with the coupon book The bus must be used l šmes fal 201 Enter your answer in the answor box and then dlick Check Arswer Eenter your answer in the anawer box ane then click Check Arswer All parts showing Clear All Khaled Ainahatn Federal-nt Dese 2 2016-09-9.34PM 201 screen h icreen Shot Screen Shot 2015-09-0.48 PM. 2n6-09ma 69 pM Screen Shot Saroon Shot 2015-09- 39 pM 0..000PM internati.copy.

Explanation / Answer

1) solution _; If you buy the coupon book, you pay $20 but you save $0.75 for each ride. Hence, after 20 rides you will pay $20 and save $15, in which the total is the same.

You can also set it up as an algebraic equation, with "r" being the number of rides:

1.75r = 20 + .75r

r=20   Answer

2) we have two equations

y= 11,600+900x      and other is y= 32,600+500x

To find x we will equate both equations

11,600+900x=32,600+500x

900x-500x=32,600-11,600

400x   = 21,000

x= 21,000/400

x=52.5

So the year is   2000+52.5 = 2052 years

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