# I am a little lost on my homework can someone help me with these problems please!

With a GM MasterCard, 5% of the amount charged is credited toward a rebate on the purchase of a new car. Express the R as a function of the amount charged A

Write a formula that describes the functionfor this problem.

#2. Graph this inequality: y<2x+2
#3. y<-2x+1
#4. y<7
#5.4x+3y>24
Thanks!!

1. R = 0.05 A = A/20
2. The region that satisfies the inequality is all of the area below the
y = 2x +2 line. The slope of that line is 2 and the y-intercept is (2, 0). (That means it goes through the point x = 2, y = 0)
3. The region that satisfies the inequality is all of the area below the
y = -2x +1 line. The slope of that line is -2 and the y-intercept is (1, 0).
4. The region that satisfies the inequality is all of the area below the
y = 7 line.
5. Rewrite as
y > -(4/3)x - 8
The region that satisfies the inequality is all of the area ABOVE the
y = -(4/3)x - 8 line. The slope of that line is -4/3 and the y-intercept is (0, 8).

I cannot draw graphs for you with tools available at this website.

## To express the rebate amount, R, as a function of the amount charged, A, we use the information given that 5% of the amount charged is credited towards the rebate. We can express this as R = 0.05A, which means that the rebate amount, R, is equal to 0.05 (or 5%) times the amount charged, A. Alternatively, we can write this as R = A/20, since dividing by 20 is equivalent to multiplying by 0.05.

For the graphing inequalities:

2. The inequality y < 2x + 2 represents a shaded region below the line y = 2x + 2. To graph it, start by plotting the y-intercept (0, 2), which is where the line crosses the y-axis. Then determine a second point by using the slope, which is the coefficient of x (2 in this case). For example, if you move one unit to the right, you move two units up. Connect the two points to get a line, and shade the region below the line to represent the inequality.

3. Similar to the previous problem, graphing the inequality y < -2x + 1 involves plotting the y-intercept at (0, 1) and using the slope (-2) to determine a second point. Connect the two points and shade the region below the line.

4. The inequality y < 7 represents a horizontal line at y = 7. Since it is a "less than" inequality, shade the region below the line.

5. To graph the inequality 4x + 3y > 24, first rewrite it in slope-intercept form by moving the terms around: 3y > -4x + 24. Divide both sides of the inequality by 3 to isolate y: y > (-4/3)x + 8. Plot the y-intercept at (0, 8), and use the slope (-4/3) to determine a second point. Connect the two points and shade the region above the line to indicate the inequality.

While I cannot draw the graphs for you, I hope the explanations help you understand how to graph these inequalities.