Answer:
lets make this like a table
x y
3=21
4=28
5=35
so since y is bigger lets divide that by x
21/3=7
so the rate of change is 7
Hope This Helps!!!
1.70 - 0.45 = 1.25
1500 ÷ 1.25 = 1200
Gina must sell 1200 cards before she can make a profit
The function represented by the table is linear function
and pass with (0,0)
so it is in the form
f(x) = m x
where m is the slope
m = [ f(x₂) - f (x₁) ] / [ x₂ -x₁]
(4-0)/(1-0) =4
so
f(x) = 4 x
Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
__
B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
_____
<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.