Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:

where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:

Substitute the given points we have;

⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
a
The percentage is

b
The probability is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The variance is 
The range consider is 
The value consider in second question is 
Generally the standard deviation is mathematically represented as

substituting value

The percentage of a cucumber give the crop amount between 778 and 834 kg is mathematically represented as

Generally 
So


From the z-table the value for 
and
So


The percentage is

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

substituting values


From the z-table the value for 
Answer:
(
−
6
,
−
30
)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex (
h
,
k
)
.
Answer:
Number of rats : Food weight = 1 : 5
Step-by-step explanation:
Number of rats in the group = 9
Weight of food carried away by them = 45 kg
Ratio of the number of rats and food weight = 
= 
= 
= 
Therefore, Number of rats : Food weight = 1 : 5