The club sells 144 cans of lemonade. what is the least number of bottles of water that must be sold to cover the cost of renting customes? justify your answer.

The drama club must sold at least 142 bottles of water in addition the the 144 cans of lemonade already sold, to cover the cost of renting costumes.

Correct statement and question:

The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The club needs to raise at least $500 to cover the cost of renting costumes. The students can accept a maximum of 360 cans and bottles.  

Write a system of inequalities that can be used to represent this situation.  

The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer.

Source: (Written not in the original form because it was rejected by )

mr burke math  blog spot com /2018 /02 /january-2018-common-core-algebra-i_2. html

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost of lemonade can = $ 2

Cost of water bottle = $ 1.50

Cost of renting costumes = $ 500

The students can accept a maximum of 360 cans and bottles

Cans of lemonade sold = 144

2. Write a system of inequalities that can be used to represent this situation.  

w = bottle of water

l = can of lemonade

2l + 1.5w ≥ 500

w + l ≤ 360

3.  What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer.

Replacing l with 144, that were the cans sold, on the 1st inequality

2l + 1.5w ≥ 500

2(144) + 1.5w ≥ 500

288 + 1.5w ≥ 500

1.5w ≥ 500 - 288

1.5w ≥ 212

w ≥ 212/1.5

w ≥ 141.33

The drama club must sold at least 142 bottles of water in addition the the 144 cans of lemonade already sold, to cover the cost of renting costumes.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.