10. This year, the number of subscribers to Skateboard Magazine is 4,256, which represents an increase of 28% over last year. How many subscribers did the magazine have last year?
Answer: C
The number of subscribers to Skateboard Magazine last year was 3,325.
To find the number of subscribers last year, we can set up the equation based on the 28% increase. If we let \( x \) be the number of subscribers last year, then we have \( x + 0.28x = 4,256 \), which simplifies to \( 1.28x = 4,256 \). Solving for \( x \) gives us 3,325.
A) 5,448
This option is incorrect as it suggests a much higher number of subscribers last year. If the magazine had 5,448 subscribers, an increase of 28% would result in significantly more than 4,256 subscribers, which contradicts the given information.
B) 4,228
This option is also incorrect. If there were 4,228 subscribers last year, a 28% increase would yield approximately 5,417 subscribers this year, far exceeding the actual number of 4,256.
C) 3,325
This is the correct answer. By calculating \( 4,256 / 1.28 \), we find that last year's subscriber count was indeed 3,325, confirming that this option aligns perfectly with the data provided.
D) 3,064
This option is incorrect. If the magazine had 3,064 subscribers last year, a 28% increase would result in about 3,917 subscribers this year, which is again less than the actual number of 4,256.
Conclusion
The calculations confirm that last year's subscriber count was 3,325, making option C the only correct answer. All other options fail as they either suggest counts that lead to subscriber numbers inconsistent with the given increase.