Please help, need an answer ASAP!
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<h3>Answer: Only first two are exponential growth function and last three functions are exponential decay functions.</h3>
Step-by-step explanation: We need to describe exponential growth or decay for the given functions.
The standard exponential function equation is
.
Where a is the initial value and b is the growth factor.
Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.
Let us check them one by one.
=>
=> .
Value of b is 1.008 > 1, therefor it's an exponential growth function.
y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.
All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.
To best emphasize the number of defects. Manager should use graph 3 (refer the image shown):
If we talk about graph 1, it can also be used but usually we put the time line on the horizontal axis, for the convenience and the quantity to be measured on the y-axis. In the graph 1, the time is placed on the vertical axis (x-axis) so it would not be a good pick for the manager.
Same is the case with graph 2 again we have time on the vertical axis. So it is not a good idea to with graph 2.
Graph 3 could be the best to emphasize the number of defects because first of all time is placed on the horizontal axis and the quantity to be shown is on the vertical axis. Secondly, the range of the vertical axis is less so it is easy to observe the data set on the graph quite distinctively. Therefore, graph 3 is the best pick.
Graph 4 is placed correctly in terms of vertical and horizontal axes but the range of vertical axis is quite high due to which the dispersion or the display of the data is quite compressed and it gets hard to visualize.
