If a bike travels 5 miles in 20 minutes, how long does it take to travel 25 miles?

100 minutes

Step-by-step explanation:

To solve this, we can make a proportion.

The bike travels 5 miles in 20 minutes, and 25 miles in x minutes

5/20=25/x

Cross multiply

5*x=20*25

5x=500

Divide both sides by 5. This will cancel out the 5, and leave x by itself.

5x/5=500/5

x=100

There are 60 minutes in 1 hour. If we subtract 60 from 100,

100-60=40

So, this is also equivalent to 1 hour and 40 minutes.

It takes 100 minutes, or 1 hour and 40 minutes, to travel 25 miles.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

df =

both have same length