Question

Samantha is growing a garden in her back yard. She spend $90 setting up the garden bed and buying the proper garden supplies. In addition, each seed she plants cost $0.25.
A. Write the function f(x) that represents Samantha's total cost on her garden.
B. Explain what x represents.
C. Explain what f(x) represents.
D. If Samantha plants 55 seeds, how much did she spend in total?

Answer 1

Answer: A.$f(x)=0.99+0.25x$

B. x represents the number of plant seeds she bought.

C. f(x)  represents the total cost on her garden is the function of the amount she spent for setting up the garden and the total amount she spent to buy seeds.

D. If Samantha plants 55 seeds, the she spent total amount of $14.74.

Step-by-step explanation:

From the given question,

The total cost on her garden is the function of the amount she spent for setting up the garden and the total amount she spent to buy seeds.

Since, she spend one time amount of $0.90 on setting the garden but the cost of seeds depend on the number of seeds she buy.

If f(x) that represents Samantha's total cost on her garden, then x represents the number of plant seeds she bought.

$f(x)=0.99+0.25x$, which represents the total cost on her garden is the function of the amount she spent for setting up the garden and the total amount she spent to buy seeds.

When x=55, then $f(x)=0.99+0.25x=0.99+0.25(55)=14.74$

Hence, If Samantha plants 55 seeds, the she spent total amount of $14.74.