Members of a school boosters club want to sell at least 10 school jackets and at least 

21 caps during a fundraiser to cover their regular club expenses. The club will make $14 
for every jacket sold and $2 for every cap sold. The club also wants the total amount of 
money earned to be at least $300.
Part A Write a system of inequalities that shows how many jackets and caps the club
members need to sell to meet the conditions described above. Let x represent the 
number of school jackets sold and let y represent the number of caps sold.
Part B Graph the system of inequalities from Part A, shading in the region that 
represents the possible solutions to the system of equations. Locate and label the
point b 14 , 35 g on the graph.
Part C Will the club meet its goal of earning $300 if it sells 14 jackets and 35 caps?
Explain how you know. How much above or below its goal will the club be?

This is similiar to the one above. Try it based on those hints and I will be happy to check it for you.

please solve it for me please

You really need to know how to do it yourself. I can give you a hint.

x >= 10
y>= 21

14x + 2y >= 300 (for part C just substitute here)

so.. you have to graph
x = 10
y = 21
14x + 2y = 300

Part A: To write a system of inequalities, we need to consider the given conditions:

1) The club wants to sell at least 10 school jackets, so the inequality for jackets would be: x ≥ 10.

2) The club wants to sell at least 21 caps, so the inequality for caps would be: y ≥ 21.

3) The total amount of money earned should be at least $300. Considering the earnings from jackets and caps, we can write the inequality: 14x + 2y ≥ 300.

Therefore, the system of inequalities is:
x ≥ 10
y ≥ 21
14x + 2y ≥ 300

Part B: To graph the system of inequalities, we will plot the lines for each inequality and shade the region that represents the possible solutions.

First, graph the line x = 10 as a vertical line passing through x = 10.

Secondly, graph the line y = 21 as a horizontal line passing through y = 21.

To graph the inequality 14x + 2y ≥ 300, we need to find its boundary line first. Rewrite the inequality as an equation: 14x + 2y = 300. Now we can graph the line 14x + 2y = 300 using standard graphing techniques.

To determine which region to shade, we can test a point that is not on any boundary line. For example, let's test the point (0,0). Substitute x = 0 and y = 0 into the inequality 14x + 2y ≥ 300:

14(0) + 2(0) ≥ 300
0 ≥ 300

Since 0 ≥ 300 is false, we conclude that the region containing the origin is not part of the solution. Shade the region that does not contain the origin.

Next, locate and label the point b(14, 35) on the graph. This means that the club would need to sell 14 jackets and 35 caps to reach point b.

Part C: To determine if the club will meet its goal of earning $300 by selling 14 jackets and 35 caps, we need to substitute x = 14 and y = 35 into the total earnings equation: 14x + 2y.

Calculating the total earnings:
14(14) + 2(35) = 196 + 70 = 266.

Since the total earnings are $266, which is less than the goal of $300, the club would not meet its goal by selling 14 jackets and 35 caps.

To find how much above or below its goal the club will be, subtract the total earnings from the goal amount: $300 - $266 = $34. The club would be $34 below its goal.