SOLUTION: If the area (in square units) of the region under the curve of the function f(x)=5,on the interval from x=4 to x=8 is 20 square units, what is the value of a? a. 4 b. 5 c. 6

Algebra ->  Finance -> SOLUTION: If the area (in square units) of the region under the curve of the function f(x)=5,on the interval from x=4 to x=8 is 20 square units, what is the value of a? a. 4 b. 5 c. 6      Log On


   

Question 1180071: If the area (in square units) of the region under the curve of the function f(x)=5,on the interval from x=4 to x=8 is 20 square units, what is the value of a?
a. 4
b. 5
c. 6
d. 7
e. 8
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If the area (in square units) of the region under the curve of the function f(x)=5,on the interval from x=4 to x=8 is 20 square units, what is the value of a?

The function y+=+f%28x%29+=+5+is simply a horizontal straight line.
the interval x=a+and x=+8+represent vertical straight lines that intersect x+=+a and x+=+8
the area above the x-axis that is bound by f%28x%29+on the top and x=a & x=8 on the sides is simply a rectangle with height+=+5 and length+=+%28+8+-+a+%29, and its area is given by
area+=+height+%2A+length+=+5+%288-a%29
if area+=20, then
5+%288-a%29=20
%288-a%29=20%2F5
8-a=4
8-4=a
a=4


answer: a. 4

Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.
If the area (in square units) of the region under the curve of the function f(x)=5,
on the interval from x=4 to x=8 is 20 square units, what is the value of a?
a. 4
b. 5
c. 6
d. 7
e. 8
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I read your post very attentively,  and did not find any mention of the variable  "a"  in the  "stating"  part.


"a"  is mentioned only in the question,  but not in the  "given"  part.


From it,  I conclude that the question is not relevant to the given part,  equally as the "given" part is irrelevant to the question.

It means that your  "problem formulation"  in the post is  DEFEFCTIVE.


What  @MatLover1 writes in her post,  it does not matter,  because it is irrelevant,  too.


The  DIAGNOSIS  is   THIS:

        Throw this post to a garbage bin;
        it does not suite for anything else.