Trisha sells gift baskets and roses at her florist shop.

• Gift baskets sell for $20.00 each.
• Roses sell for $2.50 each.
• Trisha would like her total sales to be at least $90.00 from the sale of one gift basket and some roses.

Which inequality describes all the numbers of roses (x) that Trisha needs to sell?
Responses

A x ≥ 16x ≥ 16

B x ≥ 28x ≥ 28

C x ≥ 36x ≥ 36

D x ≥ 70

1 answer

To find the inequality that describes the numbers of roses Trisha needs to sell, we need to determine the minimum number of roses she needs to sell in order to reach a total sales amount of at least $90.

The sales amount from gift baskets is $20 each. Let's assume Trisha sells x gift baskets. The total sales amount from gift baskets would then be 20x.

The sales amount from roses is $2.50 each. Let's assume Trisha sells y roses. The total sales amount from roses would then be 2.50y.

To reach a total sales amount of at least $90, the sum of the sales from gift baskets and roses should be greater than or equal to $90:

20x + 2.50y ≥ 90

Since we are looking for the inequality that describes the numbers of roses, we can solve this inequality for y:

2.50y ≥ 90 - 20x

Divide both sides of the inequality by 2.50:

y ≥ (90 - 20x)/2.50

Simplifying further:

y ≥ 36 - 8x

Therefore, the inequality that describes the numbers of roses Trisha needs to sell is:

y ≥ 36 - 8x

Looking at the given answer choices, the correct inequality is:

C) x ≥ 36