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Marat540 [252]
3 years ago
12

When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on

the fairgrounds as when the gates opened. After two hours, there were 1.5 times as many people on the fairgrounds as the previous hour. If this pattern continues, write the equation representing the number of people, y, at the fair x hours after the gates open.
Mathematics
2 answers:
pickupchik [31]3 years ago
8 0

Answer:

y=68(1.5)^(x-1)

Step-by-step explanation:

Bond [772]3 years ago
4 0

Answer:

The function is:

y = 68 (1.5) ^ x

Step-by-step explanation:

Note that the number of people increases by a factor of 1.5 per hour, and the initial number of people is 68.

So:

 After an hour the number of people is:

y = 68 (1.5)

After two hours the number of people is:

y = 68 (1.5) (1.5) = 68 (1.5) ^ 2

After x hours the number of people is:

y = 68 (1.5) ^ x

Therefore, the exponential growth function that models the number of people y at the fair after x hours is:

y = 68 (1.5) ^ x

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<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -4.92x² + 17.96x + 575

The above function is a quadratic function and we know,

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The domain of the function is all real numbers or

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The range:

From the graph of a function:

The maximum value of the graph:

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So the range of the function:

R ∈ (591.39, ∞)

Thus, the domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)

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brainly.com/question/5245372

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Step-by-step explanation:

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