The time it takes to complete a certain job is directly proportional to the number of units produced. If it takes 22 minutes to proficiently 18 units, how many units are produced in 33 minutes?

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 )

= = k

t = n ← equation of variation

when t = 33 , then

33 = n ( multiply both sides by 9 )

297 = 11n ( divide both sides by 11 )

27 = n

27 units are produced in 33 minutes

-6 is the correct option from the above given options

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5