assembly line worker at robs bicycle factory at the sea to bicycle at a rate of 2 seats in 11 minutes. Write a proportion relating to 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?

Ariana grande

To write a proportion relating the number of seats (s) to the number of minutes (m) at the given rate, we can use the concept of direct variation. Direct variation implies that the ratio of s to m remains constant.

In this case, we know that the rate is 2 seats in 11 minutes. Therefore, our proportion can be set up as follows:

2 seats / 11 minutes = s seats / m minutes

Now, to calculate how long it will take to add 16 seats, we can create the following proportion:

2/11 = 16/m

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

2m = 11 * 16

2m = 176

Divide both sides by 2 to isolate 'm':

m = 176 / 2

m = 88

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

Similarly, to find out how long it will take to add 19 seats, we can set up the proportion:

2/11 = 19/m

Cross-multiplying:

2m = 11 * 19

2m = 209

Dividing by 2:

m = 209 / 2

m = 104.5

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