Lin ran ran 2 3/4 miles in 2/5 of an hour. Noah ran 8 2/3 miles in 4/3 of an hour. 1. How far would Lin and Noah run in 1 hour?

2. How long would it take Lin and Noah to run 1 mile at that rate?

3. Who ran faster, Noah or Lin and why?

1. Lin 6 7/8 miles, Noah 6 1/2 miles

2. Lin will take 8 8/11 minutes while Noah will take 9 3/13 minutes

3. Lin ran faster because it took him less amount of time to cover same distance of 1 hour

Step-by-step explanation:

Here, we are told that Lina ran 2 3/4 miles in 2/5 of an hour while Noah ran 8 2/3 miles in 4/3 of an hour.

1. We want to know how far Noah will run in an hour

1 hour is 60 minutes;

So 4/3 of an hour is 4/3 * 60 = 80 minutes

thus;

if he ran 8 2/3 miles in 80 minutes

then he ran x miles in 1 hour(60 minutes)

8 2/3 is same as 26/3 miles

Thus;

26/3 * 60 = 80 * x

x = 26/3 * 60/80 = (26 * 20)/80 = 26/4 = 13/2 = 6 1/2 miles

Lin ran 2 3/4 miles in 2/5 hour (2/5 * 60 = 24 minutes)

2 3/4 miles took 24 minutes

x mile will take 60 minutes

60 * 2 3/4 = 24 * x

60 * 11/4 = 24x

165 = 24x

x = 165/24

x = 6 21/24 = 6 7/8 miles

Lin will run 6 7/8 miles in an hour

2. we want to know how long it will take both of them to run 1 mile

Lin ran 2 3/4 miles in 2/5 of an hour

meaning, he ran 2 3/4 in 2/5 * 60 = 24 minutes

2 3/4 miles was ran in 24 minutes

1 mile will take x minutes

1 * 24 = 2 3/4 * x

24 = 11/4 * x

x = 4 * 24/11 = 96/11 = 8 8/11 minutes

For Noah

6 1/2 miles was ran in 1 hour

1 mile will be ran in x hours

13/2 * x = 60 minutes * 1

x = (2 * 60)/13

x = 120/13

x = 9 3/13 minutes

c. Lin ran faster because he took the lesser amount of time to travel 1 mile

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )