Task 2 (6 points)
Suppose you’re having a birthday party at the local bowling alley.
1. You’re trying to figure out how many people you can afford to invite.
The number of guests you can invite to your party varies inversely with the price per bowler at the alley. Explain what this means using at least 2 sentences. (I did this already)
2. How much total money are you willing to spend to host this bowling party? (Pick a realistic number…not 2 billion dollars) 5,000
3. Research how much a bowling alley in your area charges per person. (Either use the internet or call)
_______________ per person
4. Set up an equation that shows the inverse relationship between the number of guests at your part and the price per bowler. (You will use your answer in #2 and 3 for part of this equation) Make x the number of bowlers you can invite.
5. Solve your equation for x to figure out how many people you can invite to your party. (Show all work for credit)
Need help and explanation
Did you find out what bowling alleys charge per person?
You want to spend $5,000 on this bowling party? Try something realistic. $150.00?
Suppose the bowling alley charges $10.00 per person. Your equation is:
10 x X = 150
Glad you told me about the $5,000 part. Thanks so much. I'm not good at solving equations, or do I use a calculator?
Sure! I can help with that. Let's go through each step one by one.
Step 1: You're trying to figure out how many people you can afford to invite. The number of guests you can invite to your party varies inversely with the price per bowler at the alley. This means that as the price per bowler decreases, the number of guests you can invite increases, and vice versa. In other words, the two variables (number of guests and price per bowler) have an inverse relationship.
Step 2: The total amount of money you are willing to spend to host the bowling party is $5,000.
Step 3: Research and find out how much the bowling alley in your area charges per person. Let's say the price per person is $20.
Step 4: Set up an equation that shows the inverse relationship between the number of guests at your party and the price per bowler. Let's use x as the number of bowlers you can invite. The equation would be:
Total money spent = (Price per bowler) x (Number of bowlers)
In this case, the total money spent is $5,000 and the price per bowler is $20. The equation becomes:
$5,000 = $20 x (Number of bowlers)
Step 5: Solve the equation for x to figure out how many people you can invite to your party.
To solve the equation, divide both sides by $20:
$5,000 / $20 = (Number of bowlers)
250 = (Number of bowlers)
Therefore, you can invite 250 people to your party.
I hope this helps! Let me know if you have any further questions.
To determine how many people you can invite to your party at the local bowling alley, you need to research the price per person and set up an equation that represents the inverse relationship between the number of guests and the price per bowler.
Let's say the bowling alley charges $20 per person (you would need to research the actual price in your area). Since the number of guests you can invite varies inversely with the price per bowler, you can set up the equation as follows:
Number of guests = k / price per bowler,
where k is a constant value. Since you want to find the number of guests you can invite, we will use x as the number of bowlers you can invite.
The total money you are willing to spend is $5,000, and the price per bowler is $20. Therefore, the equation becomes:
x = 5000 / 20
Simplifying,
x = 250
This means you can afford to invite 250 people to your bowling party given the budget and the price per person.