The piecewise function for this should be .
We can find the first equation simply. He gets 20 every hour up to 42 hours. Therefore, the function gives us our first equation of y = 20x when x < 42.
The second one, we must know what the base amount he would make before starting to make 28 an hour. The 28 an hour would be 28x, but he would have already made 840 before hand. Which we can determine by multiplying the base of 42 hrs by 20.
42 * 20 = 840.
Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio . For example, we can say:
We have . To find
, let's multiply this term by
:
Now, let's use this to find all of our other terms:
Thus, our terms are 64, 80, 100, 125, and (625/4).
Answer:
B. Square
Step-by-step explanation:
When in doubt, it can help to plot the points on a graph.
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By looking at the coordinate values, you see that the first two points have the same y-coordinate (0) and the other two points have the same y-coordinate (-4). These points are on horizontal lines that are 4 units apart.
Looking at the x-coordinates, you see that one pair of points has x-coordinates 4, and the other pair has x-coordinates 8. That is, these pairs of points are on vertical lines that are 4 units apart.
Vertical and horizontal lines are at right angles to each other. That means the figure must be a rectangle or square. The lengths of the sides are all 4 units, so the figure is a square.
