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

Answer:

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

Step-by-step 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

$49+29x=25+37x\\37x-29x=49-25\\8x=24\\x=\frac{24}{8}\\x=3$

after $3$ months the cost will be same

Cost $=25+37\times3=\ 136$