Joelle plans to sell two types of balloons at her charity event: 17-inch latex balloons that require 2 cubic feet (ft^3) of helium and 18-inch mylar balloons that require only 0.5 ft^3. she only has access to 1,000 ft^3 of helium, 15% of which will be unused due to pressure loss in the tanks. she wants to have at least 500 balloons for sale in total. for the number of latex balloons, l, and number of mylar balloon, m, which of the following systems of inequalities best represents this situation? a. 0.5l + 2m ≤ 850 l + m ≥ 1,000 b. 2l - 0.5m ≤ 1,000 l - m ≥ 500 c. 0.5l - 2m ≤ 850 l - m ≥ 500 d. 2l + 0.5m ≤ 850 l + m ≥ 500

The correct option is D.

Step-by-step explanation:

Let L be the number of latex balloons and M be the number of mylar balloon, M.

It is given that 17-inch latex balloons that require 2 cubic feet (ft^3) of helium and 18-inch mylar balloons that require only 0.5 ft^3.

Total amount of  helium is

She only has access to 1,000 ft^3 of helium, 15% of which will be unused due to pressure loss in the tanks.

Therefore the

It is given that Joelle wants to have at least 500 balloons for sale in total.

The system of inequalities is

Therefore the correct option is D.

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.