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Emilyggarza Group Title

parking in a student lot cost $1 for the first hour and 1.75 for each hour there after a partial hour is changed the same as a full hour what is the longest time that a student can park in this lot for $7 ? the longest time is ? have to show my work.

  • 2 years ago
  • 2 years ago

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  1. etemplin Group Title
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    the expression for how much money it costs is 1+1.75t where t is time in hours. If the cost has to be less than or equal to 7, set the expression less than or equal to 7 1+1.75t<=7 subtract 1 from both sides and divide by 1.75 this will tell you how many hours you can have remember to round down to the nearest integer

    • 2 years ago
  2. hitten101 Group Title
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    1+1.75t<=7 1.75t<=6 calculate t now..

    • 2 years ago
  3. Emilyggarza Group Title
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    okay

    • 2 years ago
  4. Emilyggarza Group Title
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    the answer is 6

    • 2 years ago
  5. etemplin Group Title
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    @hitten101 i think we both made a mistake...shouldnt it be 1+1.75(t-1)<=7 because if you plug in 1 hour into the original, you get charged 2.75 not 1.00

    • 2 years ago
  6. Emilyggarza Group Title
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    okay

    • 2 years ago
  7. hitten101 Group Title
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    oh yes you are right @etemplin

    • 2 years ago
  8. Emilyggarza Group Title
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    the answer is 6 then?

    • 2 years ago
  9. Emilyggarza Group Title
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    no offends you a very intelligent handsome guy.

    • 2 years ago
  10. etemplin Group Title
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    no. using the new equation (the old one was wrong...sorry about that) you get t<=4.42 so it should be 4. ill check by taking 1 for the first hour, adding 1.75 for the second hour (total = 2.75) add 1.75 for the third hour (total = 4.5) and 1.75 for the 4th hour (total = 6.25) since you cant go over 7, the hours = 4

    • 2 years ago
  11. hitten101 Group Title
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    No @etemplin the time can go in fractions also. it does not need to be a natural number. it can be a fraction.

    • 2 years ago
  12. etemplin Group Title
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    it says if you only use a partial hour it counts for a whole one

    • 2 years ago
  13. hitten101 Group Title
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    @Emilyggarza whom u referring to?

    • 2 years ago
  14. etemplin Group Title
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    not me ;)

    • 2 years ago
  15. hitten101 Group Title
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    hmmm... ur right @etemplin i ignored that part of the question

    • 2 years ago
  16. hitten101 Group Title
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    and thank you @Emilyggarza

    • 2 years ago
  17. robtobey Group Title
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    \[1+\text{Floor}\left[\frac{7-1}{1.75}\right]=4 \text{ hours}\]Floor[x] gives the greatest integer less than or equal to x.

    • 2 years ago
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