Given a generic parabola
the parabola is concave up if and concave down if
Since in this case , the parabola is concave down, which means that it is positive between its solutions.
Since
all options between -6.12 and 2.12 will be fine.
So, the first three options fall inside this interval, and thus f(x)>0 for those points.
Instead, is greater than the greater solution, and so f(x)<0 for that point.
Answer:
a) y = 10x +500
b) $500
c) $15 for 100; $10.50 for 1000
Step-by-step explanation:
<h3>a)</h3>
We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...
y = 10x +b
For 100 units, this is ...
1500 = 10(100) +b
500 = b . . . . . . . . subtract 1000
The cost function rule is ...
y = 10x +500
__
<h3>b)</h3>
The fixed cost is the cost of producing 0 units:
y = 10(0) +500
y = 500 . . . . . . . the fixed cost in dollars
__
<h3>c)</h3>
The average cost (ac) of producing n units is the total cost divided by n:
ac(n) = (10n +500)/n = 10 +500/n
The average cost for 100 units is
ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units
The average cost for 1000 units is ...
ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units
Answer:
The slope of the trend line is 19.286 thousand dollars. This is important because it shows that the sales of this store is increasing which intern increases profits which is important for the long term viability of this store.They y-intercept is 53.571 thousand dollars. This number represents the profits of the store in 2010 and it serves as benchmark for future years. In fifty years, we assuming that the trend continues, it will be 19.286*50+53.571 = 1017.871 thousand dollars. However, this is not appropriate because a lot can change in 50 years which can have a profound impact on the future profits.
Answer:
The only answer I have for this could be 392in²
Answer:
I'm pretty sure it's $5.00.