You can spend at most $21 on fruit. Blueberries cost $4 per pound, and strawberries cost $3 per pound. You need at least 3 pound

Question

3 years ago

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You can spend at most $21 on fruit. Blueberries cost $4 per pound, and strawberries cost $3 per pound. You need at least 3 pound

s of fruit to make muffins.
a. Write and graph a system of linear inequalities that represents the situation.
b. Identify and interpret a solution of the system.
c. Use the graph to determine whether you can buy 4 pounds of blueberries and 1 pound of strawberries.

Mathematics

1 answer:

Juliette [100K] · Answer 1 · 2022-05-26T02:08:49+03:00

Answer:

<h2>a. The system of linear inequalities is $x + y \geq 3$ and $4x + 3y \leq 21$ .</h2><h2>b. The solution is given in the figure.</h2><h2>c. The given scenario can happen.</h2>

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.