Answer:
The answer is X. because it follows along the line most perfectly.
Answer:
<em>3.75x = 450 + 1.50x</em>
<em>They should sell 200 bags of popcorn to break even</em>
Step-by-step explanation:
<u>Business Modeling</u>
When modeling the operation of a business, there are some magnitudes that should be managed to properly control the profits of the business. Those magnitudes are Costs, Revenue, and Profits.
The profit is the difference between the costs and the revenue as follows:
P(x) = R(x) - C(x)
Where x is the number of units produced and sold.
The break-even level is the value of x that produces zero profits, i.e.,
R(x) = C(x)
The costs associated to sell popcorn consist of a fixed amount of $450 plus a variable cost of $1.50 for every popcorn. Thus the total cost function is:
C(x) = 450 + 1.50x
The income or revenue is the selling price times the number of popcorns:
R(x) = 3.75x
The break-even level can be calculated by solving the equation:
3.75x = 450 + 1.50x
Solving the equation:
3.75x - 1.50x = 450
2.25x = 450
x = 450/2.25
x = 200
They should sell 200 bags of popcorn to break even
Answer:
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Step-by-step explanation:
we have

Solve for x
Adds 7 both sides


Divide by -3 both sides
Remember that
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so

The solution is the interval (-9,∞)
therefore
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Answer:
If -2 + v = 16, then v = 18.0
Step-by-step explanation:
Answer:
48 in.
Step-by-step explanation:
square
P = 4s
4s = 48 in.
s = 12 in.
triangle
s = 12 in. + 4 in.
s = 16 in.
P = 3s = 3(16 in.)
P = 48 in.