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Answer :
Sure! Let's break down the problem step by step.
We need to set up an inequality to represent the total monthly service cost for lawn mowing. Here is the situation:
1. Fixed Monthly Charge: The company charges a flat rate of [tex]$50 per month regardless of the number of times the lawn is mowed.
2. Charge per Mowing: Each time the lawn is mowed, there is an additional charge of $[/tex]35.
We need to find an inequality that represents the total cost being no greater than [tex]$170 per month.
Let's define:
- \( m \) as the number of times the lawn is mowed in a month.
The total monthly cost would therefore be made up of the fixed charge plus the cost for mowing the lawn. This can be expressed as:
\[ 50 + 35m \]
Since the customer plans to spend no more than $[/tex]170 per month, we need the total cost to be less than or equal to [tex]$170. Therefore, the inequality is:
\[ 50 + 35m \leq 170 \]
This represents the condition that the total amount spent by the customer in a month, based on the number of mowings (\( m \)), does not exceed $[/tex]170.
We need to set up an inequality to represent the total monthly service cost for lawn mowing. Here is the situation:
1. Fixed Monthly Charge: The company charges a flat rate of [tex]$50 per month regardless of the number of times the lawn is mowed.
2. Charge per Mowing: Each time the lawn is mowed, there is an additional charge of $[/tex]35.
We need to find an inequality that represents the total cost being no greater than [tex]$170 per month.
Let's define:
- \( m \) as the number of times the lawn is mowed in a month.
The total monthly cost would therefore be made up of the fixed charge plus the cost for mowing the lawn. This can be expressed as:
\[ 50 + 35m \]
Since the customer plans to spend no more than $[/tex]170 per month, we need the total cost to be less than or equal to [tex]$170. Therefore, the inequality is:
\[ 50 + 35m \leq 170 \]
This represents the condition that the total amount spent by the customer in a month, based on the number of mowings (\( m \)), does not exceed $[/tex]170.
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