Evan has a job selling magazine and newspaper subscriptions. he earns $23 for each magazine subscription and $54 for each newspaper subscription that he sells. his goal is to make more than $642 per week. he expects to sell at least 10 subscriptions per week. if m represents the number of magazine subscriptions sold and n represents the number of newspaper subscriptions sold, which system of inequalities models the given situation?

First we write the variables already defined:

m = the number of magazine subscriptions sold

n = the number of newspaper subscriptions sold

We now write the system of inequations based on the following facts:

"he earns $ 23 for each magazine subscription and $ 54 for each newspaper subscription that he sells. his goal is to make more than $ 642 per week"

23m + 54n> 642

"I have expectations to sell at least 10 subscriptions per week"

m + n> = 10

Answer:

A system of inequalities that models the given situation is:

23m + 54n> 642

m + n> = 10