Video: Writing Algebraic Expressions in a Real-World Context

A club is producing posters. If the cost of producing one poster is 10 LE and the shipping cost of an order of any size is 27 LE, what is the total cost of producing and shipping an order of 𝑥 posters?

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Video Transcript

A club is producing posters. If the cost of producing one poster is 10 Egyptian pounds and the shipping cost of an order of any size is 27 Egyptian pounds, what is the total cost of producing and shipping an order of 𝑥 posters?

So what we’re gonna do with this question is form an algebraic expression. And we’ve got some information here to help us. So we know that the cost of producing one poster is 10 Egyptian pounds. The shipping cost of any size is 27 Egyptian pounds. And what we’re trying to find the total cost of producing and shipping is an order of 𝑥 posters.

Well, our production cost is gonna be equal to 10, because it’s 10 Egyptian pounds per poster, multiplied by the number of posters. Well, we’ve already said that is 𝑥. And using our algebraic notation, we’re gonna write this as 10𝑥. And our shipping cost is 27 Egyptian pounds because this doesn’t change with the number of posters that there are. And it’s worth noting that these are both Egyptian pounds, so 10𝑥 Egyptian pounds and 27 Egyptian pounds.

So therefore, if we want to produce an expression for the whole lot, it’s gonna be 10𝑥 plus 27 Egyptian pounds. So this is the total cost of producing and shipping an order of 𝑥 posters.

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