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Rates 1

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Question 1 of 4

1. Question
Identify which of the following are rates
- 1. $Dollars to Cents$ $\text(Dollars to Cents)$
- 2. $Metres per Hour$ $\text(Metres per Hour)$
- 3. $Metres to Centimetres$ $\text(Metres to Centimetres)$
- 4. $Dollars per Kilogram$ $\text(Dollars per Kilogram)$
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A rate is a ratio of two different units.

Metres to Centimetres

These are both units of measurements and can be converted to the same unit.

Therefore, this is a ratio.

Dollars to Cents

These are both currency units and can be converted to the same unit.

Therefore, this is a ratio.

Metres per Hour

Metre is a unit of measurement while Hour is a unit of time. They cannot be converted to the same unit.

Therefore, this is a rate.

Dollars per Kilogram

Dollar is a currency unit while Kilogram is a unit of weight. They cannot be converted to the same unit.

Therefore, this is a rate.

Therefore, $Metres to Hours$ $\text(Metres to Hours)$ and $Dollars to Kilograms$ $\text(Dollars to Kilograms)$ are both rates.

Question 2 of 4

A man drove

240

$240$ km in

3

$3$ hours. Express the speed as a rate.

$Speed =$ $\text(Speed) =$ (80) $km/hour$ $\text(km/hour)$

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A rate is a ratio of two different units.

Convert the values into fraction form

240 km in 3 hours

$240 \text(km in) 3 \text(hours)$

=

$=$

\frac{240 km}{3 hours}

$(240 \text(km))/(3 \text(hours))$

Make the value of the denominator equal to

1

$1$ unit to get the rate.

$\frac{240}{3}$ $(240)/3$	$=$ $=$	$\frac{240\div{\color{#CC0000}{3}}\;\text{km}}{3\div{\color{#CC0000}{3}}\;\text{hours}}$	Divide the values by $3$ $3$

	$=$ $=$	$\frac{80 km}{hour}$ $(80 \text(km))/(\text(hour))$

This can be read as

80 km per hour

$80 \text(km per hour)$ .

80 km/hour

$80 \text(km/hour)$

Question 3 of 4

Jack gets paid

$ 400

$$400$ for

8

$8$ hours of work. How much is he earning every hour?

$$$ $$$ (50) $/hour$ $\text(/hour)$

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A rate is a ratio of two different units.

Convert the values into fraction form

$ 400 in 8 hours

$$400 \text(in) 8 \text(hours)$

=

$=$

\frac{$ 400}{8 hours}

$($400)/(8 \text(hours))$

Make the value of the denominator equal to

1

$1$ unit to get the rate.

$\frac{400}{8}$ $(400)/8$	$=$ $=$	$\frac{$400\div{\color{#CC0000}{8}}}{8\div{\color{#CC0000}{8}}\;\text{hours}}$	Divide the values by $8$ $8$

	$=$ $=$	$\frac{$ 50}{hour}$ $($50)/(\text(hour))$

This can be read as

$ 50 per hour

$$50 \text(per hour)$ .

$ 50 per hour

$$50 \text(per hour)$

Question 4 of 4

50000

$50 000$ oranges were harvested from

20

$20$ hectares of land. How many oranges were harvested from each hectare?

(2500) $oranges/hectare$ $\text(oranges/hectare)$

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A rate is a ratio of two different units.

Convert the values into fraction form

50000 oranges in 20 hectares

$50 000 \text(oranges in) 20 \text(hectares)$

=

$=$

\frac{50000 oranges}{20 hectares}

$(50 000 \text(oranges))/(20 \text(hectares))$

Make the value of the denominator equal to

$1$ unit to get the rate.

$(50 000)/(20)$	$=$	$\frac{50 000\div{\color{#CC0000}{20}}\;\text{oranges}}{20\div{\color{#CC0000}{20}}\;\text{hectares}}$	Divide the values by $20$

	$=$	$(2500 \text(oranges))/(\text(hectare))$

This can be read as

$2500 \text(oranges per hectare)$ .

$2500 \text(oranges per hectare)$

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