Is my 1st question a direct or inverse variation, and is My 2nd question a direct or inverse variation? Question: 1st Deku is saving up money so he can buy a limited time “All Might” poster. He saves $17 a week for 4 weeks. 2nd Shoto went out with his friends to the new “Cold Soba” restaurant. The total cost was $135.
direct: y = 17x
So my first is a direct? What about the 2nd one?
hard to say. If the number of friends can vary but the total cost remains the same, it's an inverse variation.
Looks like you need to study the topic a bit more.
That cold soba was delicious
Bet it was icy hot
To determine whether the situations in your questions represent direct or inverse variation, we have to understand the concepts of direct and inverse variation.
In direct variation, when one quantity increases, the other also increases proportionally, and when one quantity decreases, the other decreases proportionally. For example, if you earn $10 per hour and work for 5 hours, your total earnings will be $50 (directly proportional).
In inverse variation, when one quantity increases, the other decreases proportionally, and vice versa. For example, if you drive at a constant speed, the time taken to travel a certain distance is inversely proportional to your speed. As your speed increases, the time taken decreases.
Now, let's analyze your 1st question about Deku saving money. Deku saves $17 a week for 4 weeks to buy the All Might poster. In this situation, the amount Deku saves per week is directly proportional to the number of weeks because the more weeks he saves, the more money he accumulates. Therefore, this represents a direct variation.
Moving on to the 2nd question about Shoto's meal cost. The total cost of Shoto's meal at the Cold Soba restaurant is $135. In this case, the cost of the meal does not change based on any other factor, such as the number of friends or the time spent at the restaurant. Therefore, this situation does not represent either direct or inverse variation because there is no proportionality between any specific quantities.
Therefore, the answer is:
- The 1st question represents direct variation.
- The 2nd question does not represent either direct or inverse variation.