please help
a baby elephant has a mass of 105 kg, the baby elephant increases in mass by 95 kg per year. how many years will it take for the baby elephant's mass to increase 2 tonnes? give the answer to the nearest year

Respuesta :

2 tonnes =2000kg
2000kg÷ 96=21.05 (2dp)
therefore it would take around 21 years for the elephant to increase his mass 2 tonnes

Answer:

20 years.

Step-by-step explanation:

Let x represent number of years.

We have been given that a baby elephant has a mass of 105 kg, the baby elephant increases in mass by 95 kg per year.

The mass of baby after x years would be [tex]95x[/tex].

The total mass of baby after x years would be [tex]95x+105[/tex].

We know 1 metric tom equals 1000 kg, so 2 metric ton equals 2000 kg.

Now ,we will equate total mass of elephant by 2000 and solve for x as:

[tex]95x+105=2,000[/tex]

[tex]95x+105-105=2,000-105[/tex]

[tex]95x=1895[/tex]

[tex]\frac{95x}{95}=\frac{1895}{95}[/tex]

[tex]x=19.94736[/tex]

[tex]x\approx 20[/tex]

Therefore, it will take 20 years for the baby elephant's mass to increase 2 tonnes.

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