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3 years ago

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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.

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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2 years ago

April worked 1 1/2 times as long on her math project as did Carl. Debbie worked 1 1/4 times as long as Sonia. Richard worked 1 3

vlada-n [284]

Answer:

Student Hours worked

April. $7\frac{7}{8} \ hrs$

Debbie. $8\frac{1}{8}\ hrs$

Richard. $7\frac{19}{24}\ hrs$

Step-by-step explanation:

Some data's were missing so we have attached the complete information in the attachment.

Given:

Number of Hours Carl worked on Math project = $5\frac{1}{4}\ hrs$

$5\frac{1}{4}\ hrs$ can be Rewritten as $\frac{21}{4}\ hrs$

Number of Hours Carl worked on Math project = $\frac{21}{4}\ hrs$

Number of Hours Sonia worked on Math project = $6\frac{1}{2}\ hrs$

$6\frac{1}{2}\ hrs$ can be rewritten as $\frac{13}{2}\ hrs$

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Number of Hours Tony worked on Math project = $5\frac{2}{3}\ hrs$

$5\frac{2}{3}\ hrs$ can be rewritten as $\frac{17}{3}\ hrs.$

Number of Hours Tony worked on Math project = $\frac{17}{3}\ hrs.$

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$1\frac{1}{2}$ can be Rewritten as $\frac{3}{2}$

Number of Hours April worked on math project = $\frac{3}{2}$ $\times$ Number of Hours Carl worked on Math project

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Debbie worked $1\frac{1}{4}$ times as long as Sonia.

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Debbie. $8\frac{1}{8}\ hrs$

Richard. $7\frac{19}{24}\ hrs$

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Dennis_Churaev [7]

<em>Answer:</em>

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<em>Step-by-step explanation:</em>

<em>Hi there !</em>

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<em>Good luck !</em>

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