Rates 1
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Question 1 of 4
1. Question
Identify which of the following are ratesHint
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A rate is a ratio of two different units.Metres to CentimetresThese are both units of measurements and can be converted to the same unit.Therefore, this is a ratio.Dollars to CentsThese are both currency units and can be converted to the same unit.Therefore, this is a ratio.Metres per HourMetre 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 KilogramDollar 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, `\text(Metres to Hours)` and `\text(Dollars to Kilograms)` are both rates. -
Question 2 of 4
2. Question
A man drove `240` km in `3` hours. Express the speed as a rate.- `\text(Speed) =` (80)`\text(km/hour)`
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A rate is a ratio of two different units.Convert the values into fraction form`240 \text(km in) 3 \text(hours)` `=` `(240 \text(km))/(3 \text(hours))` Make the value of the denominator equal to `1` unit to get the rate.`(240)/3` `=` $$\frac{240\div{\color{#CC0000}{3}}\;\text{km}}{3\div{\color{#CC0000}{3}}\;\text{hours}}$$ Divide the values by `3` `=` `(80 \text(km))/(\text(hour))` This can be read as `80 \text(km per hour)`.`80 \text(km/hour)` -
Question 3 of 4
3. Question
Jack gets paid `$400` for `8` hours of work. How much is he earning every hour?- `$` (50)`\text(/hour)`
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A rate is a ratio of two different units.Convert the values into fraction form`$400 \text(in) 8 \text(hours)` `=` `($400)/(8 \text(hours))` Make the value of the denominator equal to `1` unit to get the rate.`(400)/8` `=` $$\frac{$400\div{\color{#CC0000}{8}}}{8\div{\color{#CC0000}{8}}\;\text{hours}}$$ Divide the values by `8` `=` `($50)/(\text(hour))` This can be read as `$50 \text(per hour)`.`$50 \text(per hour)` -
Question 4 of 4
4. Question
`50 000` oranges were harvested from `20` hectares of land. How many oranges were harvested from each hectare?- (2500)`\text(oranges/hectare)`
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A rate is a ratio of two different units.Convert the values into fraction form`50 000 \text(oranges in) 20 \text(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)`