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



Answer :

Champagnemami
2/11=16/x
Cross Multiply
2x= 176
Solve for x.
x=88 minutes.

2/11=19/x
Cross Multiply
2x=209
Solve for x.
X=104.5 minutes.

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.

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