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Answer:
The equation relating x and y is: y=4x
Step-by-step explanation:
Let x represent number of tickets
and y represent cost
a) Plot the ordered pairs
The ordered pairs (1,4),(2,8),(3,12),(4,16) is plotted in figure attached.
b) Write an equation relating x and y
y= 4x
Now checking by putting values of x to see, if we get values of y
if x=1, then y=4x => y=4*1 =>y=4
if x=2 then y=4x => y=4*2 =>y=8
if x=3 then y=4x => y=4*3 =>y=12
So, we get same values as table.
The equation relating x and y is: y=4x
Answer:
Step-by-step explanation:
Total number of students = 68
Let history = H
Maths = M
English = E
n(H) = 25
n(M) = 25
n(E) = 34
n(HnMnE) = 3
Total = n(H) + n(M) + n(E) - people in exactly two groups + 2(people in exactly 3 groups) + people in none of the groups
68 = 25 + 25 + 34 - people in exactly two groups - 6 +0
68 = 84 -6 - people in exactly two groups
68 = 78 - people in exactly two groups
People in exactly two groups = 78 - 68
= 10
OR
From the venn diagram, people in exactly two groups are represented by x, y and z
Total = 25 - x - y - 3 + 25 - x - z - 3 + 34 - y - z - 3 + x + y + z + 3
68 = 50 - x - 3 + 34 - y - z - 3
68 = 84 - 6 - x - y - z
68 = 78 - x - y - z
68 - 78 = - x - y - z
-10 = -(x + y + z)
x+y+z = -10/-1
x+y+z = 10
The number of students that registered for exactly two courses = 10
