Alice organizes online conferences for beginner entrepreneurs. When a session runs for 3 hours, 90 people attend and when a session runs for 5 hours, only 70 people attend. Let y represent the number of conference attendees and let x represent the duration of the session (in hours). a) The function expressing the linear relationship between the number of conference attendees and the duration of the sessions is... b) If a 6 hour session is scheduled, how many people will attend?
Answers
Given : When a session runs for 3 hours, 90 people attend and when a session runs for 5 hours, only 70 people attend
a 6 hour session is scheduled,
To Find : The function expressing the linear relationship between the number of conference attendees and the duration of the sessions is..
how many people will attend?
Solution:
x represent the duration of the session (in hours).
y represent the number of conference attendees
a session runs for 3 hours, 90 people attend
=> ( 3 , 90)
a session runs for 5 hours, only 70 people attend
=> ( 5 , 70)
Slope = ( 70 - 90)/(5 - 3) = -20/2 = - 10
Equation of line
y - 70 = -10 (x - 5)
=> y - 70 = -10x + 50
=> 10x + y = 120
=> y = 120 - 10x = 10(12 - x)
a 6 hour session is scheduled
=> x = 6
=> y = 10(12 - 6)
=> y = 10 (6)
=> y = 60
If a 6 hour session is scheduled, 60 people will attend
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