Ontario 09 Applied (MFM1P) Interpret rate of change

## Interactive practice questions

What can we say about the rate of change of the given line?

The rate of change is undefined

A

The rate of change is zero.

B

The rate of change is always negative.

C

The rate of change is always positive.

D

The rate of change is undefined

A

The rate of change is zero.

B

The rate of change is always negative.

C

The rate of change is always positive.

D
Easy
Less than a minute

A dam used to supply water to the neighbouring town had the following data recorded for its volume over a number of months.

Consider the proportional relationship shown in the graph, showing the number of fish caught over time.

Flooding from a big storm has covered a local road in water. James records the level of water on the road over time and constructs the following graph.

### Outcomes

#### 9P.LR3.01

Determine, through investigation, that the rate of change of a linear relation can be found by choosing any two points on the line that represents the relation, finding the vertical change between the points (i.e., the rise) and the horizontal change between the points (i.e., the run), and writing the ratio

#### 9P.LR3.02

Determine, through investigation, connections among the representations of a constant rate of change of a linear relation

#### 9P.LR3.04

Express a linear relation as an equation in two variables, using the rate of change and the initial value

#### 9P.LR3.05

Describe the meaning of the rate of change and the initial value for a linear relation arising from a realistic situation and describe a situation that could be modelled by a given linear equation