a) The total monthly cost is the sum of the fixed cost and the variable cost. If q represents the number of cones sold in a month, the monthly cost c(q) is given by
c(q) = 300 + 0.25q
b) If q cones are sold for $1.25 each, the revenue is given by
r(q) = 1.25q
c) Profit is the difference between revenue and cost.
p(q) = r(q) - c(q)
p(q) = 1.00q - 300 . . . . . . slope-intercept form
d) The equation in part (c) is already in slope-intercept form.
q - p = 300 . . . . . . . . . . . . standard form
The slope is the profit contribution from the sale of one cone ($1 per cone).
The intercept is the profit (loss) that results if no cones are sold.
e) With a suitable graphing program either form of the equation can be graphed simply by entering it into the program.
Slope-intercept form. Plot the intercept (-300) and draw a line with the appropriate slope (1).
Standard form. It is convenient to actually or virtually convert the equation to intercept form and draw a line through the points (0, -300) and (300, 0) where q is on the horizontal axis.
f) Of the three equations created, we presume the one of interest is the profit equation. Its domain is all non-negative values of q. Its range is all values of p that are -300 or more.
g) The x-intercept identified in part (e) is (300, 0). You need to sell 300 cones to break even.
h) Profit numbers are
425 cones: $125 profit
550 cones: $250 profit
700 cones: $400 profit
Answer:
The final price is $361.25
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 425 × 15/100
Discount = 425 x 0.15
You save = $63.75
Final Price = Original Price - Discount
Final Price = 425 - 63.75
Final Price = $361.25
Answer:
p = 24c
Step-by-step explanation:
This is called a dependent variable problem. The independent variable (the one that is given) is the number of cases. It is on the right side of the equation.
The dependent variable is the one on the left and it is found when you know the number of cases. The correct equation is
p = 24*c
Answer:
x=0.76
Step-by-step explanation:
7x^2-10=18
7x^2=28
7x=square root 28
x=sqrt28/7
x=0.755928946 round to how many decimals you need
Answer:
Step-by-step explanation:
Distribute the Negative Sign:
=−9x+32+−1(15x+41)
=−9x+32+−1(15x)+(−1)(41)
=−9x+32+−15x+−41
Combine Like Terms:
=−9x+32+−15x+−41
=(−9x+−15x)+(32+−41)
=−24x+−9
