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.
