Mathematics

Question

the Strauss family is deciding between two lawn care services Green Lawn start charges a $49 startup fee plus $29 per month grass team charges a $25 startup fee plus that $37 per month and how many months will both line care services cost the same what will be the cost​

1 Answer

  • Answer:

    The costs would be equal when the months are 34 and 26 respectively.

    Step-by-step explanation:

    The Strauss family is deciding between two lawn care services Green Lawn start charges a $49 startup fee plus $29 per month grass team charges a $25 startup fee plus that $37 per month.

    We have to find at which month the costs would become equal.

    The price after [tex]x_{1} and x_{2}[/tex] months for the two companies are

    Green Lawn start = 49 + 29[tex]x_{1}[/tex]

    Grass team = 25 + 37[tex]x_{2}[/tex]

    When the costs are equal,

    49 + 29[tex]x_{1}[/tex] = 25 + 37[tex]x_{2}[/tex]

    [tex]29x_{1}-37x_{2}[/tex] = 24

    This equation is satisfied when [tex]x_{1}= 34 and x_{2}= 26[/tex]

    Hence the costs would be equal when the months are 34 and 26 respectively.

NEWS TODAY