A small laser-tag company is planning on discounting some of their group rates for the week. Instead of $90 for a group of 3-6 people for 15 minutes, their discounting the rate to only $60. If any party that's meets the requirements needed for this, and every person in the party chips in an equal amount of money, how much would each person need to chip in for each situation? Problem #2: An employer for a store is coming up to the pay day for his employees. Right now, he has 4 front-end stokers, who each have the exact same salary of $11.50 dollars an hour, and for the past two weeks, they each worked 51 hours, with no overtime. How much money will he have to pay each of the stokers this week? How much money all together?
Is this an Inverse or Direct? How do you know?
correction******
Problem #1 A small laser-tag company is planning on discounting some of their group rates for the week. instead of $90 for a group of 3-6 people for 15 minutes, their discounting the rate to only $60. If any partty that's meets the requirements needed for this, and every person in the party chips in an equal amount of money, how much would each person need to chip in for each situation? Problem #2: An employer for a store is coming up to the pay day for his employees. Right now, he has 4 front-end stokers, who each have the exact same salary of $11.50 dollars an hour, and for the past two weeks, they each worked 51 hours, with no overtime. How much money will he have to pay each of the stokers this week? How much money all together?
Which is an Inverse Variation and which is a Direct Variation? How do you know?
considering that you "corrected" the post, it is still riddled with grammar/spelling/typing errors. Oh, well.
#1. Just divide 60 by 3,4,5 or 6 to find the individual contributions for a person of those group sizes.
#2 each stoker's pay is just $11.50*51
the total pay is 4 times that.
If y varies directly with x, it means that for some constant k,
y = kx. That is the ratio y/x = k remains constant.
If y varies inversely, then y = k/x. That is, the product xy=k remains constant.
The second one is direct right?
yes
In the given situations, we need to determine whether they are examples of inverse or direct variation.
Problem #1:
In this scenario, the laser-tag company is offering a discounted rate for a group of 3-6 people. The original rate for this group was $90 for 15 minutes, and the discounted rate is $60. The question asks how much each person in the group needs to chip in.
To find the answer, we need to determine if this is an inverse or direct variation. Inverse variation occurs when one quantity increases while the other decreases, and direct variation occurs when both quantities increase or decrease together.
In this case, as the number of people in the group increases, the total cost of $60 is divided equally among all the people. This means that as the number of people in the group increases, each person's share will decrease, and vice versa. Therefore, the given situation is an inverse variation.
Problem #2:
In this scenario, the employer is paying his 4 front-end stockers who all have the same salary of $11.50 per hour. Each of them worked for 51 hours over the past two weeks, with no overtime. The question asks how much money each stoker will be paid and how much money the employer will have to pay in total.
In this case, the salary of each stoker is directly proportional to the number of hours worked. As the number of hours worked increases, the amount of money earned also increases, and vice versa. Therefore, the given situation is an example of direct variation.
To summarize:
Problem #1 is an example of inverse variation, as the cost per person decreases as the number of people increases.
Problem #2 is an example of direct variation, as the amount of money earned increases with the number of hours worked.