document.write( "Question 1086732: Describe a situation that could be modeled with an inequality. Write the appropriate inequality, using an appropriate variable. Describe what the graph of this inequality would look like. pls help \n" ); document.write( "

Algebra.Com's Answer #700943 by jim_thompson5910(35256) $\"\"$ $\"About$

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Describe a situation that could be modeled with an inequality.
\n" ); document.write( "Often you'll be dealing with money problems where you'll want to know the total cost and you'll want to keep costs under a certain limit (i.e. stick to the budget). For instance, let's say you are part of a movie club where it costs $10 per month just to be a member. With that membership you can rent movies for $2 per movie (in contrast to $5 per movie without a membership). The question may come up: \"how many movies can I rent if I have a budget of $100 for a given month?\"
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\n" ); document.write( "Write the appropriate inequality, using an appropriate variable.
\n" ); document.write( "To answer the question posed above, let's make x = number of movies rented
\n" ); document.write( "If it costs $2 per movie, then renting x of them costs you 2*x dollars so far. This is the variable cost as it varies depending on what x is.
\n" ); document.write( "On top of this variable cost is the fixed cost of $10 per month to have a membership. In total, the full cost is 2*x+10 dollars
\n" ); document.write( "If C = 2*x+10 is that cost, and we want to keep the cost at most to $100, then we can say $\"2x%2B10+%3C=+100\"$ . This inequality, when solved for x, will help us determine the max number of movies we can rent under these conditions.
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\n" ); document.write( "Describe what the graph of this inequality would look like.
\n" ); document.write( "The inequality in the last part has one variable. Because it has one variable, it makes the most sense to graph this on a number line. When you solve $\"2x%2B10+%3C=+100\"$ for x, you'll get $\"x+%3C=+45\"$ . So you graph a closed circle at 45 and shade to the left. The shaded region represents the set of x values of the solution set. In other words, it's the possible number of movies you can rent. Keep in mind that x must be a positive whole number. So the smallest x can be is x = 0. The largest x can be is x = 45. The value of x can be anything in between those endpoints as long as it's a whole number (eg: x = 27). \n" ); document.write( "

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