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abruzzese [7]
1 year ago
14

3 The table shows the average mass, in kilograms, of different sizes of cars and trucks. Size Small Car Large Car Large Truck Av

erage Mass (kilograms) 1,354 1,985 2,460 Parta

Mathematics
1 answer:
Lelu [443]1 year ago
6 0

The average mass of the large truck is 2460 kg and the average mass of the small car is 1354 kg.

Based on the given data, the mass of the large truck is 1106 kg.

Now, rounding off to the nearest hundred, the average mass of the larger truck is 2500 kg and the average mass of the small car is 1400 kg.

So, the larger truck is 1100 kg heavier than than the smaller car.

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(a) Increased by 100%

(b) Increased by 50%

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In this question, we can use the following <em>formula</em>:

\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100

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Negative value of percentage change means decrease.

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Solution b)

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New Value = 3

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Increase of 50%.

Solution c)

Old Value = 3

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\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%

Decrease of 33.33%.

Solution d)

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\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%

Decrease of 50%.

Solution e)

Old Value = 1  

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\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%

Increase of 200%.

Solution f)

Old Value = 3

New Value = 1

\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%

Decrease of 66.67%.

So, the answer is:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

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