Question

Green Lawn charges a $49 startup fee plus $29 per month. Yard Guard

charges a $25 startup fee plus $37 per month. Determine when the cost
of the two services will be the same amount, and what the price will be.

Answer 1

After
`3` months the cost will be same cost
`=\$ 136`

Explanation:

let after
`x` months the cost is equal.

Green lawn's cost

startup cost
`=\$ 49`

Per month cost
`=\$ 29`

after
`x` month cost
`=49+29x`

yard Guard's cost

Startup cost
`=\$25`

Per month cost
`=\$37`

after
`x` month cost
`=25+37x`

Both cost are equal

`49+29x=25+37x\\37x-29x=49-25\\8x=24\\x=(24)/(8)\\x=3`

after
`3` months the cost will be same

Cost
`=25+37*3=\$136`