Given:
The graph of an exponential function.
To find:
The function in the form of .
Solution:
The general form of an exponential function is
...(i)
From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.
For x=0 and f(x)=4,
For x=1 and f(x)=7,
Putting a=4, we get
Substitute a=4 and in (i).
Therefore, the required exponential function is .
Answer:
The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
In this case we can apply a rule of three to calculate the time it'll take for the 32 electricians to finish the job. This is done below:
24 electricians -> 36 days
32 electricians -> x days
We have to be careful here, since the variables are inversely proportional, since if there are more electricians working on the same job, we expect the job to be finished in fewer days, therefore we need to invert one of the fractions as shown below:
The 32 electricians are expected to finish the job in 27 days.