A phone company used to charge $30 per month plus $0.50 per text message for phone service. However, the company did not charge
a customer more than $80 per month regardless of how many text messages they sent.
The inequality that represented a customer's cost after x text messages was 80≥0.50x+30.
Which answer choice correctly analyzes this scenario?
For the inequality to be true, the value of x needs to be negative. Since x represents the number of text messages sent, there is no solution for this scenario.
The solution 100≥x means that, for the bill to equal $80, a customer can send no more than 100 text messages per month.
For the inequality to be true, the value of x needs to be less than 1. Since x represents the number of text messages sent, there is no solution for this scenario.
While x represents the number of text messages sent, the company did not charge more than $80 per month, so a customer could send unlimited text messages for $80 per month.
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