Question

Question 1: Joel is making some muffins for a bake sale. Bananas cost $1 per pound and blueberries

cost $3 per pound. He has at most $21 to spend on fruit.
A) Write an inequality to represent the situation. Be sure
to explain what each variable represents

Answer 1

Explanation:

a. The system of linear inequalities is x + y \geq 3 and 4x + 3y \leq 21.b. The solution is given in the figure.c. The given scenario can happen.

Step-by-step explanation:

Let, I will buy x pounds Blueberries and y pounds Strawberries.

I need to collect at least 3 pounds of fruits.

Hence, x + y \geq 3.

It also given that I can not spend more than $21, that is 4x + 3y \leq 21.

If I will buy 4 pound Blueberries and 1 pound Strawberry, then x = 4 and y = 1.

Now, 4 + 1 = 5 > 3. First inequality is satisfied.

4x + 3y = 4\times4 + 3\times1 = 16 + 3 = 19 \leq 21, Second inequality is also satisfied.