Answer:
27 units
Step-by-step explanation:
let t represent time and n represent number of units
given t is directly proportional to n then the equation relating them is
t = kn ← k is the constant of proportion
to find k use the condition t = 22, n = 18 , then
22 = 18k ( divide both sides by 18 )
[tex]\frac{22}{18}[/tex] = [tex]\frac{11}{9}[/tex] = k
t = [tex]\frac{11}{9}[/tex] n ← equation of variation
when t = 33 , then
33 = [tex]\frac{11}{9}[/tex] n ( multiply both sides by 9 )
297 = 11n ( divide both sides by 11 )
27 = n
27 units are produced in 33 minutes
