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If Liza takes 120 steps, then the number of steps taken by Pete will be 72.
<h3>What are a ratio and a proportion?</h3>A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.
Then the relation between is given as
4 Pete → 4 Lulu
5 Lulu → 4 Liza
Then we have
If Liza takes 120 steps, then the number of the step taken by Pete will be
More about the ratio and the proportion link is given below.
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Answer:
1) The inequality for the given system are
y ≥ 4x - 4
y ≥ x - 1.5
2) The test point (0,0) satisfies both of the inequalities in the system represented by the graph.
Step-by-step explanation:
Given : A graph showing a system of inequalities.
We have to find the system of inequality.
For line 1)
The points that cut the x and y axis are (1,0) and (0,-4)
Thus, we can find the equation of line using two given point.
Since the general equation of line is y = mx + c
Where m is slope and c is y intercept
Slope is find as
Substitute, we get,
Slope is 4.
Thus, equation becomes y = 4x + c
For c put (0,-4) in the above equation , we have,
-4 = 4(0) + c ⇒ c = -4
Thus, equation becomes y = 4x - 4
For inequality take a test point (0,0) and we check for which inequality it satisfies the graph region
For (0,0)
y = 4x - 4 becomes 0 = - 4 is satisfied when 0 > -4
thus, the inequality becomes y ≥ 4x - 4
Since, the line is a solid so it will take up equality sign too.
For line 2)
The points that cut the x and y axis are (1.5,0) and (0,-1.5)
Thus, we can find the equation of line using two given point.
Since the general equation of line is y = mx + c
Where m is slope and c is y intercept
Slope is find as
Substitute, we get,
Slope is 1.
Thus, equation becomes y = x + c
For c put (0,-1.5) in the above equation , we have,
-1.5 = (0) + c ⇒ c = - 1.5
Thus, equation becomes y = x - 1.5
For inequality take a test point (0,0) and we check for which inequality it satisfies the graph region
For (0,0)
y = x - 1.5 becomes 0 = -1.5 is satisfied when 0 > - 1.5
thus, the inequality becomes y ≥ x - 1.5
Since, the line is a solid so it will take up equality sign too.
Thus, the inequality for the given system are
y ≥ 4x - 4
y ≥ x - 1.5
Also, The test point (0,0) satisfies both of the inequalities in the system represented by the graph.
