Question

The table shows the cost of a ski rental package for a given number of people. People Cost ($) 4 160 5 200 6 240 7 280 The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Answer 1

what is the answer

Answer 2

the rate of change is the slope. So we can find the rate of change using the slope formula.
slope = (y2 - y1) / (x2 - x1)
(4,160) x1 = 4 and y1 = 160
(5,200) x2 = 5 and y2 = 200
now we sub
slope = (200 - 160) / (5 - 4)
slope = 40

The rate of change is 40. Basically this means, for every person added, $40 is added to the rental package.

Answer 3

thx

Answer 4

no problem :)

Answer 5

Answer the questions below. Make sure to show your work when applicable.

1. Solve the absolute value equation. Check your solutions.
| 5x + 13| = –7

Answer 6

2. Simplify the expression below.
6n2-5n2+7n2

Answer 7

| 5x + 13 | = -7

5x + 13 = -7 -(5x + 13) = -7
5x = -7 - 13 -5x - 13 = -7
5x = -20 -5x = -7 + 13
x = -4 -5x = 6
x = -6/5

x = -4 and x = -6/5
=========================
6n^2 - 5n^2 + 7n^2 -- just combine like terms
8n^2 (because 6 - 5 = 1, and 1 + 7 = 8) the n^2 stays the same

Answer 8

3. 8b + 6 = 54

4. 8b + 6 = 54
8b = 54 - 6
8b = 48
b = 6
each bracelet costs $6

5. 6y - 8 <= 10
6y <= 10 - 8
6y <= 2
y <= 2/6 which reduces to 1/3, so y <= 1/3

6. not sure

7. 30% of 70 (of means multiply) -- change percent to decimal
(.30)(70) = 21

8. -5 - 8 = - 13

9. commutative property

10. 4t + tu^2 - u^3 (t = 2 and u = 1)
4(2) + (2)(1^2) - 1^3
8 + 2 - 1 = 9

11. | r + 3| >= 7

r + 3 >= 7 r + 3 <= -7
r >= 7 - 3 r <= -7 - 3
r >= 4 r <= -10

r >= 4 and r <= -10

12. what percent of 60 is 12
percent formula : is/of = %/100
now we sub
12/60 = x/100 (cross multiply)
60x = 1200
x = 1200/60
x = 20%

13. sq rt 169 = 13 (because 13^2 = 169)

14. 100 + 25x >= 700
25x >= 700 - 100
25x >= 600
x >= 600/25
x >= 24
Sharon must sell at least 24 items for her to reach $700 or more per week.

15. - (-7y + 12)
(-1)(-7y) + (-1)(12)
7y + (-12)
7y - 12

16. 1/a = 6/18 (cross multiply)
(6)(a) = (18)(1)
6a = 18
a = 18/6
a = 3

17. 8x - 12 = 4x + 24 -- subtract 4x from both sides
8x - 4x - 12 = 24 -- add 12 to both sides
8x - 4x = 24 + 12 -- combine like terms
4x = 36 -- divide by 4
x = 9

18. -6b > 42 4b > -4
b < 42/-6 b > -4/4
b < - 7 b > -1
solution is : b < -7 and b > -1

19. 6 more then the product of 8 and n
8n + 6

20. 45 = 3b + 69
45 - 69 = 3b
-24 = 3b
-24/3 = b
-8 = b

Answer 9

Graph y = | x | + 5