Number And Algebra - Chapter 7 Applying Ratios And Rates - Nelson Think Math Page 4
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32N E L S O N T H I N K M A T H S
8
A u s t r a l i a n C u r r i c u l u m
for the
$66:80
Substitute values.
¼
Worksheet
5 h
Rates
Perform the division and write as a rate.
¼ $13.36/h
MAT08NAWK00044
Write the answer.
Her rate of pay was $13.36/h.
b
Draw the triangle.
Pay
Rate
Time
Write the equation.
Pay ¼ rate 3 time
Substitute values.
¼ $13.36 3 3.5 h
Perform the calculation.
¼ $46.76
Example
2
Scientific calculator
A cyclist travels 46 km in 2 hours.
exercise
a
What is the average speed?
Applying ratios and
b
Change the speed to m/s.
rates
MAT08NASC00005
Puzzle sheet
Speed
MAT08NAPS00024
Solution
distance
a
Write the formula.
Average speed ¼
time
46 km
Substitute values.
¼
2 h
Perform the division and write the speed.
¼ 23 km/h
23 km
b
Write the speed as a division.
23 km/h ¼
1 h
23 3 1000 m
Change to metres and seconds.
¼
1 3 60 3 60 s
The 60s on the bottom are both divided, so you need to
use brackets or divide both on your calculator.
Enter as: 23
1000
60
60
.
23×1000÷60÷60
6.388888889
or 23
1000
60
60
.
Use your calculator.
6.4 m/s
241
9780170214148
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