Algebra inequalitys: The initial cost to rent a bike is ​$4. Each hour the bike is rented costs ​$1.75. Joey is going to rent a bike

Algebra inequalitys: The initial cost to rent a bike is ​$4. Each hour the bike is rented costs ​$1.75. Joey is going to rent a bike and can spend at most ​$18.00. Write and solve an inequality to find how long he can rent the bike.

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  1. (a)0.75x+1200=3.50x

    (b)[tex]x=436.36\approx 436, Break-Even \:Point[/tex]

    (c)0.75x+1200<3.50x

    (d)[tex]x436.36\approx 436[/tex]

    It means the store needs to sell more than 436 funnel cakes to make a profit

    Step-by-step explanation:

    Given the Cost and revenue function of John boy and Mary Ellen's food stand below:

    C= 0.75x+1200.

    R=3.50x

    (a)When Cost = Revenue

    Then:

    0.75x+1200=3.50x

    (b)To solve the equality from part (a) above

    0.75x+1200=3.50x

    Collect like terms

    1200=3.50x-0.75x

    1200=2.75x

    Divide both sides by 2.75

    [tex]x=436.36\approx 436[/tex]

    When Cost equals revenue, it is the Break-Even Point. It means the food stand will have to sell 436 funnel cakes to break even.

    (c) When Cost is Less than Revenue

    [tex]C(x)<R(x)\\0.75x + 1200<3.50x[/tex]

    (d)Solving the inequality

    C(x)<R(x)

    0.75x + 1200<3.50x

    Collect like terms

    1200<3.50x-0.75x

    1200<2.75x

    Divide both sides by 2.75

    [tex]436.36<x[/tex]

    [tex]x436.36\approx 436[/tex]

    It means the store needs to sell more than 436 funnel cakes to make a profit.

  2. 6 > 6 - a

    3 < 3 + c

    Step-by-step explanation:

    Since you are told that there are less than six assignments, a represents what is taken away from the six. the result of 6 - a would be less than 6 itself.

    Same concept can be connected with the other example. this time c is what you add to the 3 chores. The value of 3 + c will be greater than 3 itself

    Hope this helps.

  3. 5x - 8 < 37 and x < 9

    Step-by-step explanation:

    again, sorry if it's wrong.

    5x - 8 < 37

        +8   +8

    5x < 45

     

    5     5

    x < 9

  4. the answer is ily, have a great day

    Step-by-step explanation:

    im sorry, im not good at math babe i wish i could help

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