The average price of a certain type of coffee worldwide was $0.51 per pound in 2008. The
2 answers:
Answer:
The graph is attached
Step-by-step explanation:
The graph that will represent the relationship between t years after 2008, and the price P per pound will have some characteristics that we can identify.
<em>In 2008, i.e at t= 0, P = 0.51; this means the y-intercept is 0.51.</em>
<em>The coffee price is increasing by 0.18 every year; the slope is 0.18.</em>
Thus we have the equation
the graph of which is attached.
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9514 1404 393
Answer:
D. in quadrant III
Step-by-step explanation:
The signs of the coordinates tell you the point is located left of, and below, the origin (where the axes cross). That puts it in Quadrant III.
Answers:
- D ' at (9, -9)
- E ' at (5, -9)
- F ' at (5, -2)
- G ' at (9, -2)
Refer to the diagram below
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Explanation:
For points D,E,F,G we will follow these steps
- Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).
- Reflect across the y axis using the rule
. Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same.
- Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.
Let's go through an example:
Point D is located at (-3, -9). Apply the three steps mentioned above.
- Shift point D three units to the left to arrive at (-6, -9)
- Reflect over the y axis to go from (-6, -9) to (6, -9)
- Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'
In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)
The other points E, F, G will follow the same steps to get the answers you see at the top.
The diagram below visually summarizes everything.
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Side notes:
- The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.
- Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.
