Answer:
1.Javier did not write the coefficient raised to power of 3
2.Javier wrote x^4 instead of x^3
3.Javier did divide exponents instead of subtraction of exponents
The Option (1),(4) and (5) are correct.
Step-by-step explanation:
The function given to us is : y= f(x) =49(1/7)^x
The following statements are true regarding the above function is
- As you can see that the value of y(49)is defined for all values of x , so the Domain is the set of all values of x , which is set of all real numbers.
- X is defined for all values of y. So the Range of all the values that y can take is also set of all real numbers greater than zero, i.e y>0.
- As x increased by 1, each y-value is one seventh of the previous y-value
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:
Number with 1 dog, number with 3, and number with 4 are all incorrectly plotted.
