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Although large mammals like elephants and whales tend to live longer than small ones like mice, larger breeds of dogs have shorter life spans, on average, than smaller breeds. A researcher studying the relationship between average body mass and average life span in breeds of dogs concluded that, for every 2 kilograms of body mass, life span is 1 month less. According to this conclusion, the average life span of a breed with an average body mass of x kg is y months less than the average life span of a breed with an average body mass of 10 kg.
Select for x and for y values that are jointly consistent with the information provided. Make only two selections, one in each column.
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Initial few statements are given to minimise the valuable time of yours on the D day.
Let’s jump into the crux directly.
Average body mass and average life span is related, but with an inverse relationship.
For, 2 Kg = drop is 1 month
Let’s focus on the last line alone.
For, 10 Kg = ?
By unitary method, ? = (10*1)/2 = 5 month.
So, we have now two data’s,
2 Kg. ————- 1 month
10 kg. ————- 5 month.
And, in question we are given x kg. So, let’s fix it in the equation.
2 Kg. ————- 1 month
x kg. ————- a month
10 kg. ————- 5 month.
given that : “
the average life span of a breed with an average body mass of x kg is y months less than the average life span of a breed with an average body mass of 10 kg.“
y = a - 5 From this two equations, we get
2 Kg. ————- 1 month
x kg. ————- a month
a = (x*1)/2
a= x/2Substitute in y = a-5, we get
y = (x/2) - 5
x = 2y+10 If y = 10, then x =30