Question

party heaven charges an annual fee of $20plus $2.50 for each day of party activities you atend. Party fun world charges an annual fee of $35 plus $1 for each day of party activities you atend. find the point

Answer 1

To find the point at which Party Heaven and Party Fun World charge the same total cost, we equate their cost expressions and solve for the number of days. After attending 10 days of party activities, the total costs for both companies are the same.

Step-by-step explanation:

The problem at hand involves determining the number of days of party activities required for the total costs of Party Heaven and Party Fun World to be the same. We can set up two expressions to represent the total cost for each company:

• Party Heaven's total cost: $20 (annual fee) + $2.50 x (number of days)
• Party Fun World's total cost: $35 (annual fee) + $1 x (number of days)

To find the point at which the costs are the same, we set the two expressions equal to each other:

$20 + $2.50x = $35 + $1x

Subtract $1x from both sides to get:

$20 + $1.50x = $35

Then, subtract $20 from both sides:

$1.50x = $15

Divide both sides by $1.50:

x = 10

This means after attending 10 days of party activities, the total costs for both Party Heaven and Party Fun World are the same.