Home
Class 12
MATHS
The number of users (non - zero ) of a s...

The number of users (non - zero ) of a social networking website doubles every 4 months.
`{:("Quantity A","Quantity B"),("Ten times the number of users","The number of users today"),("one year ago",):}`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to compare two quantities based on the growth of users on a social networking website. ### Step-by-Step Solution: 1. **Define the Variables**: Let the number of users one year ago be represented as \( X \). 2. **Calculate Quantity A**: Quantity A is defined as ten times the number of users one year ago. \[ \text{Quantity A} = 10 \times X = 10X \] 3. **Determine the Growth of Users**: The problem states that the number of users doubles every 4 months. In one year (which is 12 months), the number of doubling periods can be calculated as: \[ \text{Number of doubling periods} = \frac{12 \text{ months}}{4 \text{ months/doubling}} = 3 \] 4. **Calculate Quantity B**: Since the number of users doubles three times over the year, the number of users today (Quantity B) can be calculated as: \[ \text{Quantity B} = X \times 2^3 = X \times 8 = 8X \] 5. **Compare Quantity A and Quantity B**: Now we compare the two quantities: - Quantity A: \( 10X \) - Quantity B: \( 8X \) Since \( 10X > 8X \) (for \( X > 0 \)), we conclude that: \[ \text{Quantity A} > \text{Quantity B} \] 6. **Final Conclusion**: Therefore, the correct answer is that Quantity A is greater than Quantity B. ### Summary of Results: - **Quantity A**: \( 10X \) - **Quantity B**: \( 8X \) - **Comparison**: \( 10X > 8X \) ### Answer: **Quantity A is greater than Quantity B.** ---
Promotional Banner

Similar Questions

Explore conceptually related problems

Hector can solve one word problem every 4 minutes before noon, and one word problem every 10 minutes after noon. {:("Quantity A","Quantity B"),("The number of word problems","The number of word problems"),("Hector can solve between","Hector can solve between"),("11:40 am and noon","noon nad 12:40 pm"):}

The average of six numbers is 44. The average of two of those numbers is 11. {:("Quantity A","Quantity B"),("The average of the other",77),("4 numbers",):}

Bag A contains red and black marbles in a 3 to 4 ratio. Bag B contains red and black marbles in a 4 to 3 ratio. {:("Quantity A","Quantity B"),("The total number of red","The total number of black"),("marbles in both bags combined","marbles in both bags combined"):}

Ten years ago, Brian was twice as old as Aubrey. {:("Quantity A","Quantity B"),("Twice Aubrey's age today","Brian's age today"):}

Set S={2,3,5,2,11,1} {:("Quantity A","Quantity B"),("The average of Set S","The mode of Set S if every"),(,"number in the set were"),(,"doubled"):}

Jadan earns a yearly base salary of $30,000 plus a commission of $500 on every car he sells above his monthly minimum of two cars. Last year, Jaden met or surpassed his minmum sales every month, and earned a total income (salary plus commission) of $60,000 . {:("Quantity A","Quantity B"),("The number of cars Jaden",90),("sold last year",):}