Step-by-step explanation:
I got you,
a) Work...
First equation: y = 4x + 3
Second equation: y = 2x + 11
If he wants to play 2 games...
y = 4 (2) + 3
y = 11
y = 2 (2) + 11
y = 15
<u>Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.</u>
b) Work...
seven games...
y = 4 (7) + 3
y = 31
y = 2 (7) + 11
y = 25
<u>Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.</u>
I hope this helps :)
Answer:
-1 = -5
0 = -1
2 = 5
Step-by-step explanation:
In order to do this you need to follow these five (5) steps:
1) Know what each of the variables mean in an equation of a line. The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness of a line and the y-intercept is the point where the line intersects the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)
2) Identify the m (slope) and the b (y-intercept). The slope is 3, which can also be written as 3/1. The y-intercept is -1. (Remember that subtraction of 1 is the SAME thing as adding -1!) Since the y-intercept is a point it will be plotted at (0, -1).
3) Plot the y-intercept first. Start at the origin (intersection of the x- and y-axes) since the x coordinate is 0. Then move DOWN 1 unit since the y-coordinate is negative.
4) Use the m (slope) to plot at least three new points. The slope can also be represented as "rise/run" or the amount of units that you move UP or DOWN (vertically), then LEFT or RIGHT (horizontally). (Remember: if the numerator is positive (move UP); numerator is negative (move DOWN); denominator is POSITIVE (move RIGHT); denominator is NEGATIVE (move LEFT)). Since our slope is 3/1, and both the numerator and denominator are POSITIVE, that means we will be "rising" (moving UP) 3 units and "running" (moving RIGHT) 1 unit.
Start at the y-intercept of (0, -1) and move up 3 units and to the right 1 unit. You should be at (1, 2). Plot a point here. Then do it again. You should now be at (2, 5). Plot another point. Now, do it one more time. You should now be at (3, 8). Plot your last point. (If you wish to continue plotting additional points, feel free to do so.)
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Explanation:</h2><h2>
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Let's solve this problem graphically. Here we have the following equation:
So we can rewrite this as:
So the solution to the equation is the x-value at which the functions f and g intersect. In other words:
Using graphing calculator, we get that this value occurs at:
Step-by-step explanation:
This is a linear equation in slope intercept form which is
where m is the slope and b is the y intercept.
The equation
Has a slope of -1/3 so this means that the slope will be decreasing. A negative linear equation increases as we go left. and decreases as we go right. The y intercept is 2. So this means the graph must pass through (0,2) and when x=0, y must be 2.
In other words, look for a line that the y values increase as we go left and decrease we go right. Also look for a point (0,2) and make sure the graph pass through it.
