Answer:
The profit decreases by $ 375 for every $ 1 increase in the selling price.
Step-by-step explanation:
From the definition of the secant line we get that the average rate of change of , where is the selling price of the product, measured in dollars per unit, is:
(1)
Now we evaluate the function at each bound:
x = 50
x = 55
Then, the average rate of change is:
Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.
Answer:
702
Step-by-step explanation:
The total number of Fish in the aquarium is got by adding up the
Number of Salt Water Fish, and
Number of Fresh water Fish
Number of Salt water Fish = 483
Number of Fres hwater Fish = 358
Total Fish in Aquarium = 483 + 358 = 841
Later, 139 were moved to a new aquarium, the number of fish remaining is 841 MINUS 139. That is:
841 - 139 = 702 fish remaining now
Answer:
Choice A) .
Step-by-step explanation:
What are the changes that would bring to ?
- Translate to the left by unit, and
- Stretch vertically (by a factor greater than .)
. The choices of listed here are related to :
- Choice A) ;
- Choice B) ;
- Choice C) ;
- Choice D) .
The expression in the braces (for example as in ) is the independent variable.
To shift a function on a cartesian plane to the left by units, add to its independent variable. Think about how , which is to the left of , will yield the same function value.
Conversely, to shift a function on a cartesian plane to the right by units, subtract from its independent variable.
For example, is unit to the left of . Conversely, is unit to the right of . The new function is to the left of . Meaning that should should add to (rather than subtract from) the independent variable of . That rules out choice B) and D).
- Multiplying a function by a number that is greater than one will stretch its graph vertically.
- Multiplying a function by a number that is between zero and one will compress its graph vertically.
- Multiplying a function by a number that is between and zero will flip its graph about the -axis. Doing so will also compress the graph vertically.
- Multiplying a function by a number that is less than will flip its graph about the -axis. Doing so will also stretch the graph vertically.
The graph of is stretched vertically. However, similarly to the graph of this graph , the graph of increases as increases. In other words, the graph of isn't flipped about the -axis. should have been multiplied by a number that is greater than one. That rules out choice C) and D).
Overall, only choice A) meets the requirements.
Since the plot in the question also came with a couple of gridlines, see if the points 's that are on the graph of fit into the expression .
The square root of 15 is irrational.