Question

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?

Answer 1

• 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.

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.