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A lawn company charges [tex]\$50[/tex] per month in addition to [tex]\$35[/tex] each time they mow the lawn. A customer plans to spend no more than [tex]\$170[/tex] per month for the service.

Write an inequality to represent the total monthly service cost, where [tex]m[/tex] is the number of times the lawn will be mowed.

A. [tex]35 + 50m \geq 170[/tex]

B. [tex]35 - 50m \leq 170[/tex]

C. [tex]50 + 35m \leq 170[/tex]

D. [tex]50 - 35m \leq 170[/tex]

Answer :

Let [tex]$m$[/tex] be the number of times the lawn is mowed in a month. The lawn company charges a fixed fee of \[tex]$50 per month plus \$[/tex]35 for each time the lawn is mowed. This means the total monthly cost, [tex]$T$[/tex], can be expressed as

[tex]$$
T = 50 + 35m.
$$[/tex]

The customer plans to spend no more than \[tex]$170 per month. Therefore, the inequality that represents this situation is

$[/tex][tex]$
50 + 35m \leq 170.
$[/tex][tex]$

Thus, the correct inequality is

$[/tex][tex]$\boxed{50 + 35m \leq 170.}$[/tex]$

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