Step 1: Understand the problem. The cost of Colleen's retirement party is directly proportional to the number of guests she invites. This means that the more guests she invites, the more the party will cost.

Step 2: Identify the known values. We know that the party will cost $20 if she invites 10 guests.

Step 3: Set up a proportion to find the cost of the party if she invites 17 guests. The proportion is 20/10 = x/17, where x is the cost of the party with 17 guests.

Step 4: Solve the proportion for x. Cross-multiply to get 10x = 20 * 17.

Step 5: Divide both sides of the equation by 10 to solve for x. x = (20 * 17) / 10.

Step 6: Calculate the value of x. x = 34.

So, if Colleen invites 17 guests, her retirement party will cost $34.

Question

Step 1: Understand the problem. The cost of Colleen's retirement party is directly proportional to the number of guests she invites. This means that the more guests she invites, the more the party will cost.

Step 2: Identify the known values. We know that the party will cost $20 if she invites 10 guests.

Step 3: Set up a proportion to find the cost of the party if she invites 17 guests. The proportion is 20/10 = x/17, where x is the cost of the party with 17 guests.

Step 4: Solve the proportion for x. Cross-multiply to get 10x = 20 * 17.

Step 5: Divide both sides of the equation by 10 to solve for x. x = (20 * 17) / 10.

Step 6: Calculate the value of x. x = 34.

So, if Colleen invites 17 guests, her retirement party will cost $34.

Knowee AI · Accepted Answer

Step 1: Understand the problem. The cost of Colleen's retirement party is directly proportional to the number of guests she invites. This means that the more guests she invites, the more the party will cost.

Step 2: Identify the known values. We know that the party will cost $20 if she invites 10 guests.

Step 3: Set up a proportion to find the cost of the party if she invites 17 guests. The proportion is 20/10 = x/17, where x is the cost of the party with 17 guests.

Step 4: Solve the proportion for x. Cross-multiply to get 10x = 20 * 17.

Step 5: Divide both sides of the equation by 10 to solve for x. x = (20 * 17) / 10.

Step 6: Calculate the value of x. x = 34.

So, if Colleen invites 17 guests, her retirement party will cost $34.

Colleen's retirement party will cost $20 if she invites 10 guests. If there are 17 guests, how much will Colleen's retirement party cost? Assume the relationship is directly proportional.

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