24. Martin applied for a job at 15 companies, of which 80 percent responded. Of those companies responding, 25 percent invited him for an interview. How many companies invited him for an interview?
Answer: B
3 companies invited him for an interview.
To determine how many companies invited Martin for an interview, first, we calculate the number of companies that responded to his application. Since 80 percent of 15 companies responded, that equals 12 companies. Then, taking 25 percent of those 12 companies gives us 3 companies that invited him for an interview.
A) 2
This option is incorrect because it underestimates the number of companies that invited Martin for an interview. With 12 companies responding, 25 percent of that total equates to 3 companies, not 2.
B) 3
This option is correct as it accurately reflects the calculation of 25 percent of 12 responding companies. Therefore, Martin received 3 invitations for interviews.
C) 4
This option is incorrect because it overestimates the number of companies that invited Martin for an interview. Based on the calculations, the correct number of invitations is 3, not 4.
D) 5
This option is incorrect as it significantly overstates the number of companies that invited Martin for an interview. The calculations show that only 3 companies extended invitations, making this option incorrect.
Conclusion
The correct answer is 3 companies that invited Martin for an interview, derived from the proper calculations of responses and interview invitations. The other options are incorrect either through underestimation or overestimation of the actual results based on the given percentages. Thus, option B comprehensively represents the correct outcome of the scenario.