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Answer :
To solve this problem, we need to write an inequality that reflects the total monthly cost a customer is willing to pay for lawn mowing services. Here's how we can derive the inequality:
1. Identify the costs:
- The lawn company charges a fixed fee of \[tex]$50 per month.
- Additionally, they charge \$[/tex]35 each time they mow the lawn.
2. Identify the budget constraint:
- The customer intends to spend no more than \[tex]$170 per month.
3. Express the total cost:
- The total cost per month for mowing the lawn can be expressed as the sum of the monthly fee and the cost for each time the lawn is mowed.
- If \( m \) is the number of times the lawn is mowed in a month, the cost for mowing is \( 35 \times m \).
- So, the total monthly cost is \( 50 + 35m \).
4. Set up the inequality:
- The condition given is that the total monthly cost should not exceed \$[/tex]170.
- Therefore, the inequality can be written as:
[tex]\[
50 + 35m \leq 170
\][/tex]
This inequality represents the condition that the total monthly cost of [tex]\(\$50\)[/tex] plus [tex]\(\$35\)[/tex] per mowing should not go over [tex]\(\$170\)[/tex]. So, the correct inequality that represents the situation is:
[tex]\[
50 + 35m \leq 170
\][/tex]
1. Identify the costs:
- The lawn company charges a fixed fee of \[tex]$50 per month.
- Additionally, they charge \$[/tex]35 each time they mow the lawn.
2. Identify the budget constraint:
- The customer intends to spend no more than \[tex]$170 per month.
3. Express the total cost:
- The total cost per month for mowing the lawn can be expressed as the sum of the monthly fee and the cost for each time the lawn is mowed.
- If \( m \) is the number of times the lawn is mowed in a month, the cost for mowing is \( 35 \times m \).
- So, the total monthly cost is \( 50 + 35m \).
4. Set up the inequality:
- The condition given is that the total monthly cost should not exceed \$[/tex]170.
- Therefore, the inequality can be written as:
[tex]\[
50 + 35m \leq 170
\][/tex]
This inequality represents the condition that the total monthly cost of [tex]\(\$50\)[/tex] plus [tex]\(\$35\)[/tex] per mowing should not go over [tex]\(\$170\)[/tex]. So, the correct inequality that represents the situation is:
[tex]\[
50 + 35m \leq 170
\][/tex]
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Rewritten by : Barada
