New Zealand
Level 7 - NCEA Level 2

# Linear Rates of Change

## Interactive practice questions

Sarah is planning to donate some scarves to the local charity for their winter drive next month. She already has $8$8 old scarves that she is willing to give away and plans on adding to this amount by knitting $2$2 each week.

a

Complete the table.

Week Number of scarves
$0$0 $\editable{}$
$1$1 $\editable{}$
$2$2 $\editable{}$
$3$3 $\editable{}$
$4$4 $\editable{}$
b

What amount is added to the number of scarves in each row?

c

What does this amount represent?

the number of scarves that Sarah will buy each week

A

the number of scarves that Sarah will knit each week

B

the difference between the number of scarves that Sarah will have knitted and the number of scarves she will have bought

C

the number of scarves that Sarah will have knitted after $20$20 weeks

D

the number of scarves that Sarah will buy each week

A

the number of scarves that Sarah will knit each week

B

the difference between the number of scarves that Sarah will have knitted and the number of scarves she will have bought

C

the number of scarves that Sarah will have knitted after $20$20 weeks

D
Easy
Approx 2 minutes
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Ellie has just purchased a box of chocolates that contains $35$35 pieces. She plans on eating $3$3 pieces a week until they're all gone.

A bucket containing water has a hole through which the water leaks. The graph shows the amount of water remaining in the bucket after a certain number of minutes.

The graph shows the cost, in dollars, of a phone call for different call durations.

### Outcomes

#### M7-9

Sketch the graphs of functions and their gradient functions and describe the relationship between these graphs

#### 91262

Apply calculus methods in solving problems