AnswersAISD Algebraic Reasoning A Credit Recovery 2026-2027Modeling Functions Using Finite Differences

Slope of a Line Answers

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1
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The table represents a linear function.

Question illustration
A
–6
B
–4
C
4
D
6
2
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Line AB contains points A(4, 5) and B(9, 7). What is the slope of ?

Question illustration
A
–
Option A
B
–
Option B
C
StartFraction 2 Over 5 EndFraction
Option C
D
StartFraction 5 Over 2 EndFraction
Option D
3

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?

A
It takes Aaron about 1 hour to mow 2 acres.
B
Aaron’s rate for mowing lawns is 0.5 acres per hour.
C
The ratio of acres to time is 5 acres to 3 hours.
D
The rate to mow a lawn is 0.6 hours per acre.
4

The graph represents the balance on Harrison’s car loan in the months since purchasing the car.

Question illustration
A
The loan balance decreases $500 per month.
B
Harrison makes a monthly payment of $250.
C
The loan balance increases $250 per month.
D
Harrison increases his monthly payment by $500 each month.
5

Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day.

Question illustration
A
Debi walks 1,875 steps per lap around the mall.
B
One lap around the mall is equal to 2,425 steps.
C
One lap around the mall is equal to 4,300 steps.
D
Debi walks 6,175 steps per lap around the mall.
6

Which relationship has a zero slope?

A
Option
B
Option
C
Option
D
Option
7

Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?

Question illustration
A
–
Option A
B
–
Option B
C
–
Option C
D
–
Option D
8

The table shows the height of water in a pool as it is being filled.

Question illustration
A
The height of the water increases 2 inches per minute.
B
The height of the water decreases 2 inches per minute.
C
The height of the water was 2 inches before any water was added.
D
The height of the water will be 2 inches when the pool is filled.
9

The graph of a linear function is shown.

Question illustration
A
positive
B
negative
C
zero
D
undefined
10

What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.

A
positive slope
B
negative slope
C
constant slope
D
increasing function
E
decreasing function

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