Noah and Han are preparing for a jump rope contest. Noah can jump 40 times in 0.5 minutes. Han can jump y times in x minutes, where y= 78x. If they both jump for 2 minutes, who can jump more times? How many more?

Noah Jumps more than Han in 2 minutes.

Noah jumps 4 more than Han in 2 minutes.

Step-by-step explanation:

Given:

Noah can jump 40 times = 0.5 minutes.

Han can jump y times in x mins.

We need to find who can jump more in 2 minutes and how much more.

Solution:

First we will find for Noah;

0.5 mins = 40 jumps

2 mins = Number of jumps in 2 mins.

Using Unitary method we get;

Number of jumps in 2 mins =

Hence Noah can jump 160 times in 2 minutes.

Now we will find for Han;

Han can jump y times in x mins.

⇒ Number of Jumps

⇒ Number of minutes.

So to find the number of jumps in 2 minutes we will substitute the value of x as 2 in above equation we get;

Hence Han can jump 156 times in 2 minutes.

Comparing number of jumps of Noah and han we can say that;

Noah Jumps more than Han in 2 minutes.

Also Noah jumps 4 more than Han in 2 minutes.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

i want to die

what the hell man, i just want the points lol