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Answer:
It will take 88 minutes to add 16 seats.
It will take 104.5 minutes to add 19 seats.
Step-by-step explanation:
Let m represent number of minutes.
We have been given that an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle to a rate of 2 seats in 11 minutes.
We will use proportions to solve our given problem.
[tex]\frac{\text{Number of minutes}}{\text{Number of seats}}=\frac{11}{2}[/tex]
[tex]\frac{m}{\text{Number of seats}}=\frac{11}{2}[/tex]
To find the time taken to add 16 seats, we will [tex]\text{Number of seats}=16[/tex] in our proportion as:
[tex]\frac{m}{16}=\frac{11}{2}[/tex]
[tex]\frac{m}{16}*16=\frac{11}{2}*16[/tex]
[tex]m=11*8[/tex]
[tex]m=88[/tex]
Therefore, it will take 88 minutes to add 16 seats.
To find the time taken to add 19 seats, we will [tex]\text{Number of seats}=19[/tex] in our proportion as:
[tex]\frac{m}{19}=\frac{11}{2}[/tex]
[tex]\frac{m}{19}*19=\frac{11}{2}*19[/tex]
[tex]m=11*9.5[/tex]
[tex]m=104.5[/tex]
Therefore, it will take 104.5 minutes to add 19 seats.