chloebailey0413
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Option 2 - Coaster City
Option 1 - Adventureland
$20.00 plus $9.00 per person
$40.00 plus $5.00 per person
Part A: Four members of Monica's family will be going on the trip. Which park is the better option if the family is
on a budget?
Part B: Three of Monica's friends have been invited to join the family of four on their trip. Which park will be the
best option for the group?
Part C. For how many people would the cost be the same for each park?
Write an equation that represents the situation then solve. (Explain/Justify your thinking.)

Sagot :

xKelvin

Answer:

A)

Adventureland.

B)

Coaster City

C)

5 People

Step-by-step explanation:

The cost of Adventureland for p people is:

[tex]A=20+9p[/tex]

And the cost of Coaster City for p people is:

[tex]C=40+5p[/tex]

Part A)

If four people is going on the trip, p = 4. So, the cost for Adventureland is:

[tex]20 + 9(4) = \$ 56[/tex]

And the cost for Coaster City is:

[tex]40+5(4)=\$60[/tex]

Since $56 < $60, Adventureland will be a better option.

Part B)

If three extra people were invited, the total amount of people p is now 7. So, the cost to Adventureland is:

[tex]20 + 9(7) = \$ 83[/tex]

And the cost to Coaster City is:

[tex]40+5(7)=\$ 75[/tex]

Since $75 < $83, Coaster City is the better option in this case.

Part C)

So, we can set the two cost equations equal to each other:

[tex]20+9p=40+5p[/tex]

Solve for p. Subtracting 20 from both sides yields:

[tex]9p=20+5p[/tex]

And subtracting 5p from both sides yields:

[tex]4p=20[/tex]

And dividing both sides by 4:  

[tex]p=5[/tex]

So, if 5 people went on a trip, the cost of going to either Adventureland or Coaster City will be the same.

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