100 points The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, sold by the company:

Graph of quadratic function f of x having x intercepts at ordered pairs negative 0, 0 and 10, 0. The vertex is at 5, 160.
(Picture attached)

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Part B: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent?

Part C: Describe the constraints of the domain.

A.

intercepts: prices at which profit is zero

maximum: price at which profit is maximum

increasing: x < 5, where increasing price means increasing profit

decreasing: 5 < x, where increasing price means decreasing profit

 B. 20 dollars per dollar, the rate of increase of profit with respect to price changes

 C. 0 ≤ x ≤10

Part A: The description of the graph tells you that each point on the graph represents (price, profit). So, x-intercept points that are (price, 0) represent prices at which profit is zero. The point (price, maximum) = (5, 160) represents the price at which profit is maximized.

The curve is increasing to the left of the maximum, on the interval x < 5, and is decreasing to the right of the maximum, on the interval 5 < x. These are the intervals where increasing prices result in increasing and decreasing profits, respectively.

Part B:

The average rate of change between (2, 100) and (5, 160) is given by the slope formula:

 m = (y2 -y1)/(x2 -x1) = (160 -100)/(5 -2) = 60/3 = 20 . . . . dollars per dollar

On average company profit increases by $20 for each $1 increase in the price of its pencils.

Part C:

Prices are not usually negative, so the domain is likely constrained to 0 ≤ x. The price could be set high enough to result in negative profit, but that is not a practical choice. So, the upper end of the reasonable domain is x ≤ 10.

The reasonable constraints on the domain are those than ensure profit is non-negative: 0 ≤ x ≤ 10.

Step-by-step explanation:

Hope this helps:)

its 69.420

step-by-step explanation:

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer