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
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