Introduction to Linear Functions

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Show your work for each problem.

1.
Which of the following is a linear function?
1. a)
2. b)
3. c)
4. d)
2.
What is the slope of the function ?
3.
What is the y-intercept of ?
4.
Which function has a slope of zero?
1. a)
2. b)
3. c)
4. d)
5.
Find the value of when for the function .
6.
A phone plan costs 15 euros per month plus 2 euros per gigabyte of data. Which function represents the monthly cost?
1. a)
2. b)
3. c)
4. d)
7.
Create a table of values for using . What is the constant rate of change?
8.
If a cyclist travels at 20 km/h, how far will they travel in 4 hours? Use .
9.
Which equation represents a line that goes DOWN from left to right?
1. a)
2. b)
3. c)
4. d)
10.
A taxi charges 4 euros plus 1.50 euros per kilometer. Write the function and find the cost for an 8 km ride.
11.
Determine whether this table represents a linear function:
12.
Find the slope of the function if the points and are on the line.
13.
Which statement is TRUE about the function ?
1. a)The slope is
2. b)The line rises from left to right
3. c)The y-intercept is
4. d)The line falls from left to right
14.
Write the equation of the line that passes through with slope .
15.
What type of line does represent?
1. a)A diagonal line going up
2. b)A diagonal line going down
3. c)A horizontal line
4. d)A vertical line
16.
For the function , what value of makes ?