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sineoko [7]
3 years ago
14

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 362 people entered the park, a

nd the admission fees collected totaled $1,018 dollars. How many children and how many adults were admitted?
Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

children = 172  adults = 190

Step-by-step explanation:

x= 172  y=190

1.5x+4y = 1018

x+y=362

4x+4y=1448

-1.5x-4y=-1018

2.5x=430

x=172

1.5(172) + 4y =1018

258 + 4y = 1018

4y = 760

y = 190

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Answer:

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

Savannah's constant of proportionality,k = $9.5 per hour

Step-by-step explanation:

1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?

Solution

y = kx is a proportional variation

Where,

y and x are represent two different variables

k represent constant of proportionality

From the attached table,

Let

y = wages earned (in dollars)

x = hours worked

To find the constant of proportionality k of Kevin's wage, divide the variable y (total earned) by the variable x (number of hours)

Using any points on the table

Take (8,66.00) for example

constant of proportionality k of Kevin's wage = variable y (total earned) / variable x (number of hours)

= 66.00/8

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k = $8.25 per hour

B. Constant of proportionality of Greg's wage = variable y (total earned) / variable x (number of hours)

Using (9, 81.00)

k = 81.00/9

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C. Constant if proportionality of Savannah's wage = variable y (total earned) / variable x (number of hours)

Using (6, 57.00)

k = 57.00/6

= 9.5

Savannah's k = $9.5 per hour

Therefore,

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

Savannah's constant of proportionality,k = $9.5 per hour

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