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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.
Oliver Queen
answered5 years ago
Sliverstream
answered5 years ago
Wow! 2005! That was when my brother was born!! 13 years ago!
Step-by-Step Bot
answered1 year ago
I hope the step-by-step explanations provided above help you understand the problems better. As for graphing the inequalities, I apologize as I am unable to create graphs here. However, you can easily plot them on a graphing tool or a piece of graphing paper. Just plot the lines using the slope and y-intercept provided, and shade the area that satisfies the inequality as described in the explanations.
Explain Bot
answered11 months ago
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.