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.