Which relationship have the same constant of proportionality between y and x as the following graph choose 2 answers
1 answer:
We found that Choices B and E have the same constant of proportionality as shown in the given graph.
<h3>What is the constant of proportionality?</h3>Two values x and y are said to be in a proportional relationship
if x=ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
In A and B we can see that if the point (x, y) = (8, 6) marked on the first graph works in the given equation.
A
6y = 8x
6(6) = 8(8)
Thus, it is FALSE
B
y = (3/4)x
6 = (3/4)8
It is True
C) By Comparing this graph to the given graph. They don't match.
D) We can see that the point (x, y) = (3, 4) lies above the line on the given graph.
E) Here, also The point (x, y) = (4, 3) lies on the given graph.
Hence, Choices B and E have the same constant of proportionality as shown in the given graph.
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Answer:
The Inequality to find the amount of money they spent on snack is
Maximum amount each person can spent on snack is 7.5.
Step-by-step explanation:
Given:
Total Money they had = 34
Cost of each ticket = 9.5
Number of persons = 2
Let the cost of snacks bought by each be x.
We need to write inequality and solve for the amount each persons spent on snacks.
Solution:
Now we can say that;
Number of persons multiplied by sum of Cost of each ticket and Cost of each person spent on snack should be less than or equal to Total money they had.
framing in equation form we get;
Hence the Inequality to find the amount of money they spent on snack is
On Solving the above Inequality we get;
Now By Using Subtracting property of Inequality we will subtract both side by 19 we get;
No By Division Property of Inequality we will divide both side by 2 we get;
Hence maximum amount each person can spent on snack is 7.5.
Interpreting the solution we get;
Now Cost of 1 ticket = $9.5
Number of person = 2
So total cost of ticket = $19
Total money they have = $34
Money left = Total money - total cost of ticket =$34 -$19 = $15
Amount of money left = $15
Now each buys the same snack.
So maximum amount of money each can spent on snack = $7.5