Do the ratios 16 18 and 1 2 form a proportion?
2 answers:
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Answer:
General equation of line : --1
Where m is the slope or unit rate
Table 1)
p d
1 3
2 6
4 12
d = Number of dollars (i.e.y axis)
p = number of pound(i.e. x axis)
First find the slope
First calculate the slope of given points
---A
Substitute values in A
Thus the unit rate is 3 dollars per pound.
So, It matches the box 1 (Refer the attached figure)
Equation 1 :
Since p is the x coordinate and d is the y coordinate
On Comparing with 1
Thus the unit rate is dollars per pound
So, It matches the box 2 (Refer the attached figure)
Equation 2 :
Since p is the x coordinate and d is the y coordinate
On Comparing with 1
Thus the unit rate is 9 dollars per pound
So, It matches the box 3 (Refer the attached figure)
Table 2)
p d
1/9 1
1 9
2 18
d = Number of dollars (i.e.y axis)
p = number of pound(i.e. x axis)
Substitute values in A
Thus the unit rate is 9 dollars per pound
So, It matches the box 3 (Refer the attached figure)
Given:
The system of inequalities:
To find:
Whether the points (–3,–2) and (3,2) are in the solution set of the given system of inequalities.
Solution:
A point is in the solution set of the given system of inequalities if it satisfies both inequalities.
Check for the point (-3,-2).
This statement is true.
This statement is also true.
Since the point (-3,-2) satisfies both inequalities, therefore (-3,-2) is in the solution set of the given system of inequalities.
Now, check for the point (3,2).
This statement is false because .
Since the point (3,2) does not satisfy the second inequality, therefore (3,2) is not in the solution set of the given system of inequalities.