Question

Kylie is planning to provide online science and Chinese language tutoring sessions. The sciences

sions. The science sessions will be 40
minutes long, and the French sessions will be 20 minutes long. She plans to work no more than to nours per week and
does not want to provide more than 20 Chinese sessions in any one week. Let s represent the number onscience sessions,
and crepresent the number of Chinese sessions Mary will offer during the week. Which system oninequalities represents
the constraints of the given situation?​

Answer 1

120 ≤ 20c + 40s

Explanation:

(Assuming her name is Kylie, who is giving 40 minute science sessions and 20 minute Chinese sessions.)

The unit for time will be minutes.

Write an equation for time needed for science sessions

40s = t

Write an equation for time needed for Chinese sessions

20c = t

Combine the two equations for the total time.

20c + 40s = total time

She does not want the total time to be more than two hours.

Convert two hours to minutes. There are 60 minutes in an hour.

2h * 60mins = 120 mins

Therefore t ≤ 120. Include this into the equation.

120 ≤ 20c + 40s