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

Question

contestada

Respuesta :

andrew8253 andrew8253 · Answer 1 · 2020-01-17T17:59:10+01:00

Answer:

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, [tex]x + y \geq 3[/tex].

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

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.

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

raphealnwobi raphealnwobi · Answer 2 · 2021-11-19T12:12:48+01:00

4 pounds of blueberries and 1 pound of strawberries can be bought.

Let x represent the amount of blueberries in pound, y represent the amount of strawberries in pound.

Since at least 3 pounds of fruit to make muffins. hence:

x + y ≥ 3 (1)

Also, at most $21 can be spent on fruit, hence:

4x + 3y ≤ 21 (2)

Plotting both equations using geogebra. The graph is attached.

From the graph we can see that the point A(4, 1) satisfy the inequality, hence 4 pounds of blueberries and 1 pound of strawberries can be bought.

Find out more at: https://brainly.com/question/25285332