Answer: The answer is (C) Exponential.
Step-by-step explanation: We are to select out of the given options the type of graph that a savings account with compounded interest be modelled.
We know that compounding gives more interest because we are earning interest on interest, and not just on the principal.
The formula foe compound interest is given by
where, 'P' is the principal, r is the rate of interest and 'n' is the number of years.
Therefore, we can see that the function is of exponential type.
If we draw the graph of compound interest earned every year with a particular rate of interest is of exponential type.
So, the correct option is (C) Exponential.
Answer:
see below
Step-by-step explanation:
A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.
_____
<em>Comment on discriminant</em>
discriminant > 0, two (2) x-intercepts (first 2 graphs)
discriminant < 0, no (0) x-intercepts (third graph)
Using it's formula, the average rates of change are given as follows:
a) 30 meters per second.
b) -10 meters per second.
<h3>What is the average rate of change of a function?</h3>The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:
For item a, taking the data from the table, we have that:
Hence the rate is given as follows:
r = (138 - 0)/(4.6 - 0) = 30 meters per second.
For item b, taking the data from the table, we have that:
Hence the rate is given as follows:
r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
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