During a job fair last year an employer spent 200 minutes interviewing people for jobs this year the employer wants to interview at least 4 more people than last year the company will increase the amount of interviewing time by 40% if each interview both last year and this year takes about 15 minutes will the employer meet its goal explain

Yes, the employer will meet his goal

Step-by-step explanation:

Last year an employer spent 200 minutes interviewing people for jobs.

if each interview for last year takes about 15 minutes, This means about 15minutes was spent interviewing one person and he could have spent more than 15 minutes interviewing some people and lesser interviewing other persons. But no matter how much time he spent for each person, the total time spent last year was 200 minutes.

Assuming he spent 15 minutes per person,

the total number of people interviewed last year would be

200/15 = 13.33 persons which is approximately 13 persons.

This year, the employer wants to interview at least 4 more people than last year. This means he wants to interview not lesser than (13+4) = 17 people this year.

The company will increase the amount of interviewing time by 40%.

This means the total amount of time for interview this year would be

200 minutes + 20% of 200 minutes.

= 200 + 0.2×200 = 200+80

= 280 minutes.

The time per person is about 15 minutes.

This means the number of persons that can be interviewed in 280 minutes = 280/15

= 18.66 and approximately 19 persons

This is more than the 17 persons we actually targeted. Therefore the employer will meet his goal.