The value y when x=40 and the value of x when y=1.5

CheemnCatelvew

CheemnCatelvew

Answered question

2021-09-21

The value y when x=40 and the value of x when y=1.5

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2021-09-22Added 118 answers

Given:
y=2log(100x)0.37 given the number of years y required for x percent of the sparrows to die, where 0x95.
Galculation:
a) To determine the value of y when x=40:
We have y=2log(100x)0.37 ----(1).
Here x=40. Substitute the value of x in equation (1) we get,
y=2log(100x)0.37y=2log(10040)0.37y=2log600.37y=21.7780.37y=0.2220.37y=0.6
Hence the values of y when x=40 is 0.6
b) To determine the value of x when y=1.5.
We have y=2log(100x)0.37 ----(1)
Here y=1.5. Substitute the value of y in equation (1) we get,
y=2log(100x)0.371.5=2log(100x)0.371.5×0.37=2log(100x)0.555=2log(100x)0.5552=log(100x)log(100x)=1.445100x=101.445100x=27.86x=10027.86x=72.14
Hence the value of x when y=1.5 is 72.14.
Conclusion:
Thus, the value of y when x=40 is 0.6 and the value of x when y=1.5 is 72.14.

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