Name____________________________________________________hr_____Date_______
Functions Review Worksheet #3
1. In the block pattern below, blocks are added in each step to form a pattern.
Step number, x
Step 1
Step 2
Step 3
Number of blocks, y
Step 4
Complete the table above. Use 2 points on the table to write the equation of the function.
Choose 2 points on the line and write an equation of the line in slope-intercept form.
2.
3.
4. Tell whether the following functions are linear or non-linear
x
0
1
2
3
y
3
5
8
12
y  x  2x  1
xy  2 x  1
x
0
1
2
3
y
–7
–2
3
8
2 y  1  2x
y  3x 2  4
Radius, r
1
2
3
4
5
6
7
8
Area, A

4
9
16
25
36
49
64
5y 
7
x
7 y  5x
y  6
The formula for the volume V of a sphere with radius r is
y  6 x
4 3
 r . Does this formula represent a linear or
3
y  6 x 2
V 
nonlinear function?
5. The table shows the cost y (in dollars) of x fluid ounces of brewed coffee.
a. Which variable is independent? ____ dependent?____
Fluid Ounces, x
0
8
16
24
b. Write a linear function that relates y to x.
Cost, y
0
0.5
1
1.5
c. What is the unit rate?
d. How much does it cost to purchase 32 fluid ounces of brewed coffee?
6. The table shows the area y (in square feet) of a triangle with a height of x feet.
a. Write a linear function that relates the area of the triangle to the
height of the triangle.
Height, x
1
2
3
Area, y
3
6
9
1
bh. Chose a point then solve for b in this
2
formula to find the length (in feet) of the base of the triangle?
b. The formula for the area of a triangle is A 
7. The table shows the distance traveled y (in miles) in a car in x hours.
a. Write a linear function that relates distance traveled to hours.
Hours, x
Miles, y
b. What is the rate at which they were traveling?
c. What was the distance traveled in 5 hours?
d. How long will it take to travel 400 miles?
2
4
6
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