A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,900 in political contributions. Single tickets cost $34, while an entire table can be reserved for $540.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

Question

12-02-2018
Mathematics

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A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,900 in political contributions. Single tickets cost $34, while an entire table can be reserved for $540.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

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highwireact highwireact · Answer 1 · 2018-02-12T05:37:45+01:00

The simplest interpretation would go a little something like this:

We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with

[tex]D \ \textgreater \ 7,900[/tex]

Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have

[tex]D=540r+34s[/tex]

So, the inequality representing this situation would be

[tex]540r+34s\ \textgreater \ 7,900[/tex]

And that would probably be fine for this problem.

Footnote: Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?