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Mkey [24]
3 years ago
12

What happens when you log transform the dependent data in an exponential growth curve?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0
The obtained transformed data will show a linear relation when you graph log(y) vs x

This is the mathematical demonstration:

Exponential function: y= A (B)^x
log(y) = log A + x log B
log(y) = log A + (logB)x

log A is a constant and is the vertical axis-intercept
logB is a constant and is the slope of the graph
x is the independent variable

log A is a constant,

 


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Elena-2011 [213]

Answer:

d. linear; $25/hour

Step-by-step explanation:

From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.

For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.

Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.

Linear. $25/hour

Answer choice d.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
3 years ago
Can someone help me with this question pls and thank you
konstantin123 [22]

Answer:

x>2

Step-by-step explanation:

Longer than two hours is >.

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Crank

Answer:

addition

Step-by-step explanation:

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on day one height=2cm

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