I have done the work on all of these problems so please don't give me lectures about cheating, I'm not 8 years old.

1.Given the function rule f(x) = x^2-3x+2, what is the output of f(-2)?
A)-8
B)0
C)4
D)12***

2.The data in the table represents a linear function
X:-3,0,3,6
Y:-5,-3,-1,1
What is the slope of the linear function?
A)-3/2***
B)-2/3
C)2/3
D)3/2

3.Which function rule represents the data in the table below?
Input (x): 1,2,3,4,5
Output (y): 9,14,19,24,29
A)y=4+5x
B)y=3+6x
C)y=5+4x
D)y=6+3x***

4.The sale price of apples at a local grocery store is $1.35 for the first pound and $1.10 for each additional pound. Which function rule shows how the cost of apples,y, depends on the number of pounds x. A)y=1.10(x-1)+1.35***
B)y=1.10x+1.35
C)y=1.35x+1.10
D)y=(1.10+1.35)x

5.What are the first four terms of the sequence represented by the expression n(n-1)-5?
A)-7,-5,-3,-1
B)-5,-10,-15,-20***
C)0,2,6,12
D)-5,-3,1,7

6.Max charges $3.50 per hour when he mows lawns, plus $6.00 for transportation expenses. Which function rule represents the amount y max charges to mow lawns for x hours?
A)y=9.50x
B)y=6.00x+3.50
C)y=3.50x+6.00***
D)y=2.5x

7.What are the next 3 terms in the sequence?
-3,6,15,24
A)35,46,57
B)34,44,54
C)33,44,56
D)33,42,51***

8.Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year, it produced 16 bulbs. If this pattern continues, how many bulbs should Geoff expect in the tenth year?

A)2,048 bulbs***
B)1,024 bulbs
C)40 bulbs
D)32 bulbs

9.Which hill described in the table is the steepest? Explain.
Street|Horizontal distance|vertical rise

Dixie |80 |40
hill |

Bell |80 |20
hill | |

Liberty|80 |60
hill | |

A)Bell Hill;it rises 1 foot for every 4 feet of horizontal travel.
B)Dixie Hill; it rises 2 feet for every 1 foot of horizontal travel.
C)Liberty Hill; it rises 4 feet for every 3 feet of horizontal travel.
D)Liberty Hill; it rises 3/4 foot for every 1 foot of horizontal travel.***

10.Suppose you earn $12 each time you mow the lawn. Use function notation to describe the relationship between your total earnings E and the number of times m you mow the lawn.
A)E(m) = m + 12
B)m = 12E
C)E(m) = m – 12
D)E(m) = 12m***

They all look ok to me, except

#2. Recall that the slope is ∆y/∆x
pick any two pairs and see what you get

#3. Note that y increases by 5 for each step. You could not possibly have tried 3x+6 on more than one pair.

#5. Again, you clearly only tried n=1.

1. To find the output of the function f(-2), you need to substitute -2 into the function rule f(x) = x^2-3x+2.

- Plug in -2 for x in the function rule: f(-2) = (-2)^2 - 3(-2) + 2
- Simplify the expression: f(-2) = 4 + 6 + 2
- Calculate the result: f(-2) = 12
Therefore, the output of f(-2) is 12.

2. To find the slope of a linear function using the given table, you can choose any two points from the table and use the formula: slope = (change in y)/(change in x).
- Pick two points from the table, let's choose (-3, -5) and (6, 1).
- Calculate the change in y: -5 - 1 = -6
- Calculate the change in x: -3 - 6 = -9
- Divide the change in y by the change in x: slope = -6/-9 = 2/3
Therefore, the slope of the linear function is 2/3.

3. To determine which function rule represents the given data table, you need to find the pattern by analyzing the relationship between the input (x) and output (y) values.
- Looking at the outputs, you can see that each output is 5 more than the previous output.
- Therefore, the function rule must have a term that multiplies the input by 5.
- Looking at the inputs, you can see that each input is increasing by 1.
- Therefore, the function rule must also have a term that adds 1 to the input.
- The correct function rule is y = 4 + 5x, as it satisfies both requirements.
Therefore, the function rule that represents the given data table is y = 4 + 5x.

4. The cost of apples depends on the number of pounds purchased, according to the given situation. The rule for calculating the cost (y) can be determined by analyzing the given information.
- The first pound costs $1.35, which is constant regardless of the number of pounds purchased.
- Each additional pound costs $1.10, which is multiplied by the number of additional pounds (x-1), as the first pound is already accounted for.
- Therefore, the correct function rule is y = 1.10(x-1) + 1.35.
Therefore, the function rule that shows how the cost of apples depends on the number of pounds is y = 1.10(x-1) + 1.35.

5. To find the first four terms of the sequence represented by the expression n(n-1)-5, you substitute the values 1, 2, 3, and 4 into the expression.
- For n = 1: 1(1-1) - 5 = -5
- For n = 2: 2(2-1) - 5 = -3
- For n = 3: 3(3-1) - 5 = 1
- For n = 4: 4(4-1) - 5 = 7
Therefore, the first four terms of the sequence are -5, -3, 1, and 7.

6. To represent the amount Max charges to mow lawns for x hours, you need to consider the fixed charge for transportation expenses and the charge per hour for mowing lawns.
- Max charges $3.50 per hour for mowing lawns, which can be represented by 3.50x.
- Max also charges $6.00 for transportation expenses, which is a fixed charge added to the hourly rate.
- Therefore, the correct function rule is y = 3.50x + 6.00.
Therefore, the function rule that represents the amount Max charges to mow lawns for x hours is y = 3.50x + 6.00.

7. To find the next three terms in the sequence -3, 6, 15, 24, you need to find the pattern and continue it.
- By examining the given terms, you can see that each term is obtained by adding 9 to the previous term.
- Therefore, you continue the pattern by adding 9 to the last term.
- Next term: 24 + 9 = 33
- Next term: 33 + 9 = 42
- Next term: 42 + 9 = 51
Therefore, the next three terms in the sequence are 33, 42, and 51.

8. To determine the number of bulbs Geoff should expect in the tenth year, you need to analyze the pattern given in the question.
- In the first year, there are 4 bulbs.
- In the second year, the number of bulbs doubles to 8.
- In the third year, the number of bulbs doubles again to 16.
- This pattern suggests that the number of bulbs doubles each year.
- To find the number of bulbs in the tenth year, you can continue doubling the previous year's count: 16, 32, 64, 128, 256, 512, 1024, 2048.
Therefore, Geoff should expect 2,048 bulbs in the tenth year.

9. To determine which hill described in the table is the steepest, you need to compare the ratios of vertical rise to horizontal distance for each hill.
- Calculate the ratios for each hill:
- Dixie Hill: 40/80 = 0.5
- Bell Hill: 20/80 = 0.25
- Liberty Hill: 60/80 = 0.75
- The steepest hill has the highest ratio of vertical rise to horizontal distance.
- Therefore, the steepest hill is Liberty Hill, as it rises 3/4 foot for every 1 foot of horizontal travel.

10. To describe the relationship between your total earnings E and the number of times m you mow the lawn, you need to consider that you earn $12 each time you mow the lawn.
- Therefore, for each time you mow the lawn m, you earn $12.
- The relationship can be represented by the function E(m) = 12m, where E(m) represents your total earnings and m represents the number of times you mow the lawn.
Therefore, the correct function notation to describe the relationship is E(m) = 12m.