10. Write as a single interval, if possible (-2,4) 11. A musician is planning to

Question

10. Write as a single interval, if possible (-2,4)

11. A musician is planning to market a CD. The fixed costs are
$310 and the variable costs are $5 per CD. The wholesale price of the CD will
be $8. For the artist to make a profit, revenues must be greater than costs.
How many CDs, x, must be sold for the musician to make a profit?

12. Evaluate:  

-5-(-3)

13. Find the distance between -1 and 1.

14. Solve:

x-4=2

15.Solve: Rewrite the solution in interval notation

x+46

16.Write as an absolute value inequality: x is more than 7units
from 3

Explanation / Answer

10. "-2 < x < 4" (or maybe "|x-3| < 1")

11. Revenue = price * quantity = $8*x

Cost = fixed cost + variable cost * quantity = 310 + 5*x.

Find the breakeven, where revenue = cost

8x = 310 + 5x

8x - 5x = 310 + 5x - 5x

3x = 310

3x/3 = 310/3

x = 103.333 (round up to 104)

Needs to sell at least 104 in order to make a profit.

12. -5 - (-3) = -5 + 3 = -2.

13. 1 - (-1) = 1 + 1 = 2.

14. x-4 = 2

x - 4 + 4 = 2 + 4

x = 6

15. x + 4 6

x + 4 - 4 6 - 4

"x 2" ....or maybe "(-,2]" if you teacher likes it that way

16. |x - 7| > 3

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.