©G Dear 2010 – Not to be sold/Free to use Applied Mathematic (Preliminary General 1) Measurement Rates Stage 6 - Year 11 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use

Rates and Measurement A rate is a comparison of two quantities of a different type. When simplifying rates, we compare the 1st quantity with ‘1’ unit of the 2nd quantity. Rates are converted by multiplying or dividing each term to get the correct units. Then divide the first quantity by the second.

Rates and Measurement What is a light-year? Speed of Light = 300 000 km/s 3x105 km/s 1.08x109 km/hr 2.59x1010 km/day 9.5x1012 km/year One Light-Year 9.5 trillion km

How much does he get paid Rates and Measurement Calculating Pay Rates A fireman earns $25.49/hour How much does he get paid For a 35 hour week? $25.49 / hr x35 x35 $892.15/38 hr $892.15/week

How much does he get paid Rates and Measurement Calculating Pay Rates A nurse earns $24.93/hour How much does he get paid For a 38 hour week? $24.93 / hr x38 x38 $947.34/38 hr $947.34/week

Rates and Measurement Calculating Flow Rates A car travels at 100 km/hour What is the speed in m/sec? 100 km/1 hour x1000 x60 x60 100 000 m/ 3 600 secs ÷3600 . ÷3600 27.7 m/sec 28 m/sec

Rates and Measurement Calculating Flow Rates The run rate in a 50 over cricket game is 7.2 runs/over. What is the run rate in runs/game 7.2 runs/1 over x50 x50 360 runs/ 50 overs 360 runs/game

Calculating Wage Rates Rates and Measurement Calculating Wage Rates Mary is paid $674.50 for a 38 hour week. What is her pay rate) $675/38 hours ÷38 ÷38 $17.75/ hour