PLS HELP IM TIMED BUT ITS THE LAST QUESTION
2 answers:
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Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x
Answer:
Price of the adult ticket is $13
Price of the child ticket is $3
Step-by-step explanation:
Lets x be the adult ticket and y be the child ticket.
Given:
School sold 14 adult tickets and 14 child tickets for a total of $224, so the first equation is.
-------------(1)
And the school took in $44 on the second day by selling 2 adult tickets and 6 child tickets, so the second equation is.
---------------(2)
We find the price of an adult ticket and the price of a child ticket by solving above system of equation.
Now, equation 2 multiplied by 7.
---------(3)
Now, equation 1 subtracted by equation 3.
-______________
14x is cancelled in both equations, so we get the equation.
y = 3
Now, we substitute y = 3 in equation 2.
x = 13
Therefore, the price of the adult ticket is $13 and the price of the child ticket is $3.