The amount G, in pounds, of grass a kangaroo will eat in a day depends on the amount V, in pounds per acre, of vegetation present. The relationship is given by

?
?.
?
A:  Make a graph of G versus V. Include vegetation levels up to 2,000 pounds per acre.B:  What vegetation level will cause a kangaroo to consume 2.1 pounds in a day?C:  Is the graph concave up or concave down?  Explain in practical terms what this means about how the kangaroo feeds.D: What is the most a kangaroo will eat in a day no matter how much vegetation is present?
?
Round your answer to two decimal places if necessary.
?

What will be an ideal response?


?

A:

       

?

?

B: 621.23 pounds per acre

?

C: The graph is concave down.  As vegetation levels increase the amount the kangaroo eats increases, but at a decreasing rate.  Additional availability of vegetation makes a greater difference in the amount the kangaroo eats when there is less vegetation present.

?

D:  About 2.5 pounds

?


Mathematics

You might also like to view...

Calculate the flux of the field F across the closed plane curve C.F = (x+y)i + xyj; the curve C is the closed counterclockwise path around the rectangle with vertices at    and 

A. 133 B. 21 C. 84 D. 140

Mathematics

Subtract. Simplify the result whenever possible.x - x

A. x
B. x2
C. x
D. x

Mathematics

Convert the units using unit fractions.20 yd =  ft

A. 240 B. 720 C. 60 D. 180

Mathematics

Find an equation for the ellipse described.Center (0, 0); major axis vertical with length 8; length of minor axis is 6

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics