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​

Answer 1

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

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
`x_(1) and x_(2)` months for the two companies are

Green Lawn start = 49 + 29
`x_(1)`

Grass team = 25 + 37
`x_(2)`

When the costs are equal,

49 + 29
`x_(1)` = 25 + 37
`x_(2)`

`29x_(1)-37x_(2)` = 24

This equation is satisfied when
`x_(1)= 34 and x_(2)= 26`

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