Y varies directly as x, and y = 22.5 when x = 0.9. Write a direct variegation equation for this situation
1 answer:
Answer:
Step-by-step explanation:
<u>Function Models</u>
There are times where we are interested in expressing data sets into mathematic models. One of the most commonly used is the linear model, where the dependent variable has a linear relation with the independent variable. A special case of a linear model is the direct relation or proportion, where the variables relate in the form:
Where k is an arbitrary constant.
We know y=22.5 when x=0.9. This can be used in the equation above to find the value of k:
Solving for k:
The equation that models the relation is:
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- First, to shift the graph of
1 unit to the right, so
- Second, to shift the graph of
4 units to the left, so
To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged
In this case, we have the graph of:
And we need to translate it to make it the graph of:
According to our rules we need:
- First, to shift the graph of
- Second, to shift the graph of
But is the same as
, so the previous steps can be simplified as:
- Shifting the graph of
Below are shown those graphs:
- The blue one is
- The red one is
Shifting graphs: brainly.com/question/10010217
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Answer:
The future value of this initial investment after the six year period is $2611.6552
Step-by-step explanation:
Consider the provided information.
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.
Future value of an investment:
Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.
9% compounded semiannually for 6 years.
Therefore, the value of r is:
Number of periods are: 2 × 6 = 12
Now substitute the respective values in the above formula.
Hence, the future value of this initial investment after the six year period is $2611.6552