Question

Please check my answer!!!!!!!!!

Answer 1

The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling donut combos, where x is the number of combos sold and f(x) is the amount of profit.

Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)
Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)

Answer 2

A.
−(x2−44x+484−484+384)
−(x−22)2+100
Vertex is (22,100) Since the equation is in the form -(x-a)^2 +b, meaning the vertex is the maximum point of the curve. Relating to the situation, it just means that 100 is the maximum profit and 22 is the corresponding number of combos sold B. To get the x-intercepts, just factor it out. x-int is (x,0) so. 0=(x-32)(X-12) x-intercepts are 12 and 32 in these points, f(x)=0 which means the profit is also zero.

Answer 3

:o

Answer 4

A.
−(x^2−44x+484−484+384)
−(x−22)^2+100
Vertex is (22,100) Since the equation is in the form -(x-a)^2 +b, meaning the vertex is the maximum point of the curve. Relating to the situation, it just means that 100 is the maximum profit and 22 is the corresponding number of combos sold B. To get the x-intercepts, just factor it out. x-int is (x,0) so. 0=(x-32)(X-12) x-intercepts are 12 and 32 in these points, f(x)=0 which means the profit is also zero.

Answer 5

Correct. Good job.

Answer 6

Thank you :]

Answer 7

You're welcome