Heidi and Andrew designed two raised flowerbeds for their garden. Heidi's flowerbed was 5 feet long by 3 feet wide, and Andrew's was the same length but twice as wide. Calculate how many cubic feet of soil they need to buy to fill to a depth of 2 feet in both flowerbeds. Explain your thinking.

Step-by-step explanation:

-Given the two heights are similar:

#Heidi's flowered bed dimensions and volume is calculated as:

#The width of Andrew's is twice Heidi's. The width and volume is thus calculated as:

#Total soil volume of the soil used is determined by summing the two different flowerbed volumes:

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: