Answer: The cost of maintenance for a 6000 square foot lawn is $420.
Explanation:
Since we have given that
Cost of monthly maintenance on a 4000 square foot lawn = $280
We need to find the cost of monthly maintenance on a 6000 square foot lawn.
Since the cost of lawn maintenance varies directly with the size of the lawn.
So, it becomes,
[tex]\dfrac{4000}{280}=\dfrac{6000}{x}\\\\\dfrac{100}{7}=\dfrac{6000}{x}\\\\x=\dfrac{6000\times 7}{100}\\\\x=\$420[/tex]
Hence, the cost of maintenance for a 6000 square foot lawn is $420.