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Answer:
First mechanic worked 20 hours and second mechanic worked 5 hours
Step-by-step explanation:
Let the number of hours the first mechanic worked =
Let the number of hours the second mechanic worked =
Therefore, we can write 2 equations and then solve them simultaneously:
Rearranging the first equation:
and substituting into the second equation to find :
Now sub into the first equation to find
Therefore, first mechanic (a) worked 20 hours and second mechanic (b) worked 5 hours
Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and is the decay factor and is the growth factor.
The exponential function passes through the point (0,6). Substituting in (i), we get
The exponential function passes through the point (1,2). Substituting in (i), we get
Here, lies between 0 and 1. Therefore, the decay factor of the given exponential function is .
Hence, the correct option is A.