Rate of Change on Graph

Find the slope:

• 3/4

• 4/3

• -3/4

• -4/3

Answer explanation

Vertical change (4 units) over horizontal change (3 units)

$\frac{4}{3}$

Find the slope

• -5/3

• -3/5

• 5/3

• 3/5

Answer explanation

$\frac{\Delta y}{\Delta x}=\frac{V}{H}=-\frac{5}{3}$

NEGATIVE, "nice negative" (going down slope from left to right)

Find the slope of the line.

• Undefined

• 0

• 1

• -1

Answer explanation

$slope\ =\ \frac{\Delta y}{\Delta x}=\frac{V}{H}$
In this case, there is NO vertical change, so it's:
$\frac{0}{\Delta x}=\frac{0}{H}=0$
Zero divided by any number is still zero.

The slopes of parallel lines are...

• the same

• opposite

• always different

Answer explanation

Since parallel lines must have the same angle (go in the same direction), then parallel lines have the same slope — and lines with the same slope are parallel.

What is the rate of change demonstrated in this graph?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160

• A

• B

• C

• D

This graph shows the number of hand-crafted bookmarks Angela designs and sells compared to the total money she earns. What is the rate of change for the function?

• $2 per bookmark

• $2.50 per bookmark

• $4 per bookmark

• $5.50 per bookmark

• A
• B
• C
• D