Susan is planting marigolds and impatiens in her garden. Each marigold costs $9, and each impatien costs $7. Susan wants the number of marigolds to be more than twice the number of impatiens. She has a maximum of $125 to spend on the plants. This situation can be modeled by the following system of inequalities.

Which statement describes the system of inequalities?

The situation can be modeled by the following system of inequalities.

9x + 7y ≤ 125 and x > 2y

The statements describes the model are,

1) Each marigold costs $9, and each impatiens costs $7 and Susan has a maximum of $125 to spend on the plants.

2) Susan wants the number of marigolds to be more than twice the number of impatiens.

Step-by-step explanation:

Given : Susan is planting marigolds and impatiens in her garden.

Let the number of marigold plants be x and the number of impatiens be y.

According to question,

Each marigold costs $9, and each impatiens costs $7 and Susan has a maximum of $125 to spend on the plants.

Cost of x marigolds = 9x,

and cost of y impatiens = 7y

So this can be modeled as 9x + 7y ≤ 125

Also, Susan wants the number of marigolds to be more than twice the number of impatiens.

So this can be modeled as x > 2y

Thus, This situation can be modeled by the following system of inequalities.

9x + 7y ≤ 125 and x > 2y

The statements describes the model are,

1) Each marigold costs $9, and each impatiens costs $7 and Susan has a maximum of $125 to spend on the plants.

2) Susan wants the number of marigolds to be more than twice the number of impatiens.