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3 years ago

15

Carlos is going to an amusement park for his 11th birthday with his 2 yr old brother and parents. His parents brought $100 to sp

end. Tickets for anyone under the age of 7 is free. Tickets for anyone 7 or older cost 15 dollars. After going on a few rides, Carlos and his family decide to eat lunch. They order 4 slices of pizza that cost $1.50 each. How much money does Carlos's family have to spend on dessert ?

1 answer:

amm18123 years ago

8 0

They have $49.00 left for desert because a ticket is $15 for each person 7 and older. So 15 × 3 people = $45.00. $1.50 per slice and they got 4 slices so 1.50 × 4 = $6.00. $45.00 + $6.00 = $51.00. $100 - $51 = $49.00

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Answer:

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$\omega = B$ (Angular frequency) (Correct answer: 2)

$x_{o} = C$ (Phase shift) (Correct answer: 3)

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Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

$y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}$ (1)

Where:

$\Delta y$ - Amplitude.

$\omega$ - Angular frequency.

$x_{o}$ - Phase shift.

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$x$ - Independent variable.

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In addition, we know that the period associated with the sinusoidal function ( $T$ ) is:

$T = \frac{2\pi}{\omega}$

By direct comparison, we get the following conclusions:

$\Delta y = A$ (Amplitude) (Correct answer: 1)

$\omega = B$ (Angular frequency) (Correct answer: 2)

$x_{o} = C$ (Phase shift) (Correct answer: 3)

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Step-by-step explanation:

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