An assembly line worker at rob's bicycle factory adds a seat to a bicycle at a rate of 2 seats in 11 minutes. Write a proportion relating the number of seats s to the number of minutes m. At this rate how long will it take to add 16 seats? 19 seats?

104.5

2/11 = s/m

2/11 = 16/m
2m = 176
m = 88

To write a proportion relating the number of seats (s) to the number of minutes (m), we can set up the ratio of seats to minutes as follows:

2 seats / 11 minutes = s seats / m minutes

Now, to find how long it will take to add a certain number of seats, we can use this proportion and solve for 'm'.

Let's calculate the time it will take to add 16 seats:

2/11 = 16/m

To solve for 'm', we can cross multiply:

2m = 11 * 16

2m = 176

Now, divide both sides by 2 to find 'm':

m = 176 / 2

m = 88

Therefore, it will take 88 minutes to add 16 seats at this rate.

Similarly, let's calculate the time it will take to add 19 seats:

2/11 = 19/m

Cross multiplying:

2m = 11 * 19

2m = 209

Divide both sides by 2:

m = 209 / 2

m = 104.5

So, it will take approximately 104.5 minutes to add 19 seats at this rate.

Note that since time cannot be divided into half a minute, we may round up or down to the nearest whole number depending on the context.