McGraw Hill Glencoe Geometry, 2012
MH
McGraw Hill Glencoe Geometry, 2012 View details
2. Medians and Altitudes of Triangles
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Exercise 46 Page 343

Calculate how many seconds each student needs to fold one page. Then compare the values.

H

Practice makes perfect

In order to determine which student is the fastest, let's calculate in how many seconds each student folds one page.

Neiva

We are already given that Neiva's folding speed is 1 page every 3 seconds. Neiva: 1page- 3 sec

Sarah

We are told that Sarah folds 2 pages per 10 seconds. Dividing 10 by 2 we can calculate how many seconds she needs to fold 1 page. 10/2=5seconds Therefore, Sarah's folding speed is as follows. Sarah: 1page- 5 sec

Quinn

It is given that Quinn folds 30 pages per minute. One minute has 60 seconds. If we divide 60 by 30, we will find how many seconds Quinn needs to fold one page. 60/30=2seconds Hence, Quinn's folding speed is the following. Quinn: 1page- 2 sec

Deron

Deron folds 45 pages in 2 minutes. Changing minutes into seconds, we can say that he folds 45 pages in 120 seconds. To find the number of seconds he needs to fold one page, let's divide 120 by 45. 120/45=2.666666... ≈ 2.67seconds This way we have found the folding speed of Deron. Deron: 1page- 2.67 sec

Conclusion

Now, let's compare the found folding speeds of the students.

Student Folding Speed
Neiva 1 page - 3 sec
Sarah 1 page - 5 sec
Quinn 1 page - 2 sec
Deron 1 page - 2.67 sec

As we can see, Quinn needs only 2 seconds to fold one page, which is the shortest time. Therefore, Quinn is the fastest. The answer is H.