Question

An assembly line worker at Bob's Bicycle Factory adds a seat to a bicycle at a rate of two seats in 11 minutes. Write a proportion relating the number of seats to the number of minutes At this rate, how long will it take to add 16 seats?

a) 88 minutes
b) 22 minutes
c) 33 minutes
d) 44 minutes

Answer 1

To find the time required to add 16 seats, we set up the proportion 2 seats/11 minutes = 16 seats/y minutes. After solving for y, we find that it will take 88 minutes to add 16 seats.

Step-by-step explanation:

The student asked to write a proportion relating the number of seats to the number of minutes and to calculate how long it will take to add 16 seats using this ratio. Since the worker adds two seats in 11 minutes, we can set up the proportion as 2 seats/11 minutes = x seats/minutes, where x is the number of seats we want to find the time for. Here, we want to find the time for 16 seats.

To solve for the time to add 16 seats (y minutes), we set up and cross-multiply the proportion:

2 seats/11 minutes = 16 seats/y minutes

2y = 16 × 11

2y = 176

y = 176/2

y = 88 minutes

So, it will take 88 minutes to add 16 seats to the bicycles.