magan wants to ride his bicycle 30.4 miles this week. he has already ridden 4 miles if he rides for 4 more days what is the aver
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We write an inequality:
This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.
is a linear function while 
is an exponential one (with limit zero as 
approaches 
). We see that 
at approximately 
and 
.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at
. By observing our graph, we see that when 
or 
.
This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at
The perimeter of the rectangular plot of land is given by the expression below
On the other hand, since the available money to buy fence is D dollars,
Furthermore, the area of the enclosed land is given by
Solving the second equation for x,
Substituting into the equation for the area,
To find the maximum possible area, solve A'(y)=0, as shown below
Therefore, the corresponding value of x is