Juan and Lizzy are in the final week of their training for a marathon. Juan’s goal is to run one mile on the first day of the week and double the amount he runs each day for the next six days. Lizzy’s goal is to run 10 miles on the first day of the week and increase the amount she runs by 3 miles each day for the next six days.

1: Juan’s marathon training schedule is an example of a(n) : arithmetic or geometric
2: Lizzy’s marathon training schedule is an example of a(n) : arithmetic or geometric
3: Who will be better prepared for the marathon: Juan or Lizzy

i can you with this answer

step-by-step explanation:

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: