Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
Step-by-step explanation:
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.
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B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
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* If we take the peak profit to be $270, we can write f(x) as ...
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.
Step-by-step explanation:
Step-by-step explanation:
False. the number is the x coordinate
True. the x-axis is horizontal
False. 0,0 is called the origin.
Answer:
1. >
2. <
3. =
Step-by-step explanation:
100x8=800, 4*7=28, multiplied by 25 is 700, therefore making 800 greater than 700. Whenever comparing two multiplication problems, multiplying large numbers produces large results, so whichever starts larger will have an end result that is larger. 100 was large and it is smaller to its counter 25.
36 elevens really means 11x36, which is 396. 40 elevens really means 40x11, which is 440 minus 11x3 which is 407. 407 is greater than 396. The same logic applies here as the previous answer, the only difference is that the removal of three elevens is still larger than 36 elevens in this case.
12x24=288, 6x24=144, doubled makes it 288. In this case, the six is half of the twelve to begin with and then is made up for later by the fact that it is doubled.
When I solve math questions like these, I ignore the fact that it doesn't want a mathematical answer, do the math anyway and pull logic from it. (If your teacher checks, do it on a separate piece of paper, and then toss it.)
-30 because -30 +20=-10
Hope this helped
