Answer:
The correct option is 3. The rate of change in the function 
is less than the rate of change of the function represented in the table.
Step-by-step explanation:
The given table represents a function.
Choose any two points from the table. The two points are (0,-5) and (2,1).
Slope of a line is
Slope of the function that is represented by the table, is
Therefore the rate of change of function is 3.
The given function is
It is a slope intercept form of a line.
Where m is the slope and b is y-intercept.
Therefore the slope of the given function is 1.
Since 1<3, therefore rate of change in the function is less than the rate of change of the function represented in the table. Option 3 is correct.
Answer:
b
Step-by-step explanation:
Answer: length = 8cm
Width = 4cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x
Note that, Area of a rectangle = Length × Width
Therefore,
2x × x = 32
2x² = 32
Divide both side by 2
2x²/2 = 32/2
x² = 16
x = ✓16
x = 4
Therefore, width = 4cm
Since length = 2x
Length = 2 × 4cm = 8cm
Check: length × width = Area
8cm × 4cm = 32cm²
A = 6
tn = a + (n - 1)d
t4 = 6 + 3d = 12
3d = 12 - 6 = 6
d = 6/3 = 2
f(n + 1) = f(n) + 2
