12. lucy and mike work in a factory where they wrap and pack plates into boxes so the plates
can be shipped to stores. each box contains 24 plates. lucy packs 5 plates every minute.
mike packs 180 plates in hour.
who packs plates at a faster rate: show your work and explain your reasoning.

Lucy packs more

Step-by-step explanation:

5*60=300

300 is Lucy in one hour

there are 60 minutes in one hour

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.