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8. A drama club is planning a bus trip to New York City to see a Broadway play. The cost per
person for the bus rental varies inversely as the number of people going on the trip. It will cost
$30 per person if 44 people go on the trip. How much will it cost per person if 55 people go on
the trip? Round your answer to the nearest cent, if necessary
$48.00
$12.50
$24.00
$33.00​

Respuesta :

jeanbaptistemakayla2

Answer:

$24.00

Step-by-step explanation:

The quickest way to figure this is to figure out the total cost.

44 * $30 = $1320

Now divide that by 55 people instead:

$1320 / 55 = $24

Answer:

$24/person

dwivedisiddhant03

The cost for the 55 person is $24.00.

To find the cost per person if 55 people go on the trip, we have to create inverse proportion equation.

Inverse proportion equation:

The inverse proportion equation used to find the one unknown variable. It will occur when on value increase and other decrease.

Given:

The cost for 44 people is $30.

Let the cost [tex]x[/tex] for the 55 people.

Write an inverse proportion equation to solve the problem.

[tex]\dfrac{x}{30}=\dfrac{44}{60}[/tex]

Cross multiply the above equation.

[tex]\begin{aligned}x\times 55&=44\times 30\\55x&=1320\\x&=\$24\end[/tex]

Thus, the cost for the 55 person is $24.00.

Learn more about inverse proportion equation here:

https://brainly.com/question/15179946

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