Delancey plans to run at least 5 miles each week for her health. Delancey has a circular route in the neighborhood to run. Once around that route is 140 yards. If Delancey runs that route 30 times during the week, will she cover at least 5 miles? Explain. (Type integers, fractions, or mixed numbers.)

A. No, because 5 miles is nothing yards, and 30 times around the route is nothing yards, which is less than 5 miles.

B. Yes, because 5 miles is nothing yards, and 30 times around the route is nothing yards, which is the greater than 5 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: