Without graphing, determine whether the function represents exponential growth or exponential decay.
1 answer:
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An equation in the form 
is the line
that goes through the origins and whose tangent equates
. In general, any equation in the form 
is the equation of a line.
that goes through the origins and whose tangent equates
is the equation of a line.
For this case, the first thing we must do is define variables.
We have then:
t: the time in minutes
k: the number of kilometers
The relationship between both variables is direct.
Therefore, the function is:
Where, "c" is a constant of proportionality.
To determine "c" we use the following data:
After running for 18 minutes, she completes 2 kilometers.
Substituting values:
Clearing c we have:
Then, the equation is given by:
Answer:
An equation that can be used to represent k, the number of kilometers Julissa runs in t minutes is: