Addie walked 2 1 2 miles in 45 minutes. Suzie covered 2 2 5 miles in 2 3 of an hour. Which girl walked faster? By how much?

Suzie walks faster by 0.27 miles per hour.

Step-by-step explanation:

Addie walked miles in 45 minutes and Suzie covered miles in of an hour.

So, Addie walked 2.5 miles in 45 minutes i.e. hours.

Therefore, the walking speed of Addie is miles per hour.

Again, Suzie covered i.e. 2.4 miles in i.e. 0.67 hours.

So, the walking speed of Suzie is miles per hour.

Hence, Suzie walks faster by (3.6 - 3.33) = 0.27 miles per hour. (Answer)

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

the function makes a strait line horizontally with no x intercept but a y intercept at 9.