Dylan's Jumps-Personal Narrative

A

Austin has to take more jumps to get to the top of the stairs. This is because Dylan only lands on every other stair, so he only needs to take ½ of the jump to get to the top of the stairs.

Where n is the number of stairs, j is the number of jumps, and d is Dylan, the expression for how many jumps it takes for Dylan to get to the top of the stairs is j(d)=½(n).

Where n is the number of stairs, j is the number of jumps, and a is Austin, the expression for how many jumps it takes for Austin to get to the top of the stairs is j(a)=s

If Austin and Dylan each took 5 jumps, Dylan would be farther up the stairs, as he goes twice as far as Austin in the same amount of jumps.

I think that Dylan would win the race, because he can go up the stairs twice as fast as Austin

B

Diane would run the 30 yards faster, with a time of 18 seconds. To get this answer, I found their average speed. For Tom I did 30/6 = 5 * 4 = 20, and for Diane I did 30/5 = 6 * 3 = 18. this means that Tom ran it in 20 seconds, and Diane ran it in 18.

Diane runs faster. To find this I decided to find their average speed. To do this I divided 6/4 for Tom, which equals 1.5 yards per second, and 5/3 for Diane which equals about 1.7 meters per second. C

I decided that the best way to tackle this problem would be to create a table. My table has four columns, number of minutes worked, how much Tammy has cleaned in that set amount of time, how much Melissa has cleaned in that set amount of time, and how much they have cleaned together. I decided to start with 15 minute intervals, and then make the intervals smaller if need be. After a while, I came upon the fact that they finished anywhere from 75-90 minutes. After narrowing that down I finally found that they finished anywhere from 75 to 75.25 minutes to