when the admission price for a conference is $400, 1000 people will attend. for each $5 reduction in price, an additional 20 peopel will attend. let x be the number of 5 dollar reductions. determine the number of people that will attend as a function of x.

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12-12-2022
Mathematics

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when the admission price for a conference is $400, 1000 people will attend. for each $5 reduction in price, an additional 20 peopel will attend. let x be the number of 5 dollar reductions. determine the number of people that will attend as a function of x.

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contexto1019 contexto1019 · Answer 1 · 2022-12-18T06:50:52-05:00

Let y be the number of people that will attend the conference as a function of x. The given information tells us that when x = 0 (the admission price is $400), y = 1000. Additionally, for each $5 reduction in price, an additional 20 people will attend.

We can express this relationship as a function as follows:

y = 1000 + 20x

This function tells us that the number of people that will attend the conference is equal to 1000, plus an additional 20 people for each $5 reduction in price (represented by the variable x).

For example, if the admission price is reduced by $10 (x = 2), the number of people that will attend the conference is given by:

y = 1000 + 20(2)

y = 1000 + 40

y = 1040

So, if the admission price is reduced by $10, 1040 people will attend the conference.

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