If Rahul walks 9km in a week and Vansh walks 900 m daily, which of these is true about the distances they cover in a week?

Rahul walks 2.7 km more than Vansh.

Step-by-step explanation:

The options include:

a. Vansh walks 7.2 km more than Rahul.

b. Vansh walks 2 km more than Rahul.

c. Rahul and Vansh both cover the same distance.

d. Rahul walks 2.7 km more than Vansh.​

Distance covered by Rahul weekly = 9km

Distance covered by Vansh weekly = 900m × 7 = 6300m = 6300/1000 = 6.3km

From the above, we can see that Rahul walk (9km - 6.3km) = 2.7km more than Vansh.

Note: 1000 meters = 1 kilometers

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!

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct