Your class wants to know to most typical age of student in your class. It collects the ages of all students and the teacher. Whi
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We were told that the distance is directly proportional to the time
.
We write this mathematically as,
We can now introduce our constant of variation and write the equation for the direct equation as;
where is the constant of variation or constant of proportionality.
We substitute and
, in to the equation of variation to obtain the constant of proportionality.
That is;
This implies that,
This simplifies to give us,
Now our equation of proportion becomes,
When T=20
Writing this as a mixed number we obtain,
This can also be rewritten as
correct to one decimal places.
Therefore the care covers miles in
minutes.
The answer will be in the picture
Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:
Where, a is the initial value, r is the growth rate in decimal and is the growth factor.
It is given that the growth rate is 30% decrease. So,
Now,
Therefore, the growth factor is 0.7.