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India
Class XI

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
Easy
1min

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.

Easy
1min

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.

Easy
3min

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

Easy
2min
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Outcomes

11.C.LD.1

Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit. Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

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