Make a table of values of x and y and use it to draw
the graph of the relationship
(a) (1) y = 0.6x (ii) y = 4x (iii) y = 6x
(b) In each part, from the graph find the value of
y, when (1)x = 2 (l) x = 3 (iii) x = 0
Answers
To make a table of values of x and y and use it to draw the graph of the relationship y = 0.6x, y = 4x and y = 6x, we can substitute different values of x into each equation and find the corresponding value of y.
To Find:
to make a table of values of x and y for each equation and use it to draw the graph of the relationship by plotting the points on a graph.
to find the value of y when x = 2, x = 3 and x = 0 for each equation.
Given:
three relationships are given in the form of equations y = 0.6x, y = 4x and y = 6x
Solution:
To make a table of values of x and y and use it to draw the graph of the relationship y = 0.6x, y = 4x and y = 6x, we can substitute different values of x into each equation and find the corresponding value of y.
For y = 0.6x:
x | y
0 | 0
1 | 0.6
2 | 1.2
3 | 1.8
4 | 2.4
5 | 3.0
For y = 4x:
x | y
0 | 0
1 | 4
2 | 8
3 | 12
4 | 16
5 | 20
For y = 6x:
x | y
0 | 0
1 | 6
2 | 12
3 | 18
4 | 24
5 | 30
We can use these values to plot the points on a graph and draw the lines for each equation.
(b) To find the value of y when x = 2, 3, and 0 for each equation we can substitute these values of x into the equation and solve for y.
For y = 0.6x:
x = 2, y = 0.6(2) = 1.2
x = 3, y = 0.6(3) = 1.8
x = 0, y = 0.6(0) = 0
For y = 4x:
x = 2, y = 4(2) = 8
x = 3, y = 4(3) = 12
x = 0, y = 4(0) = 0
For y = 6x:
x = 2, y = 6(2) = 12
x | y
0 | 0
1 | 6
2 | 12
3 | 18
4 | 24
5 | 30
And for x = 2, 3, and 0, we can substitute these values into the equation y = 6x and find the corresponding value of y.
x = 2, y = 6(2) = 12
x = 3, y = 6(3) = 18
x = 0, y = 6(0) = 0
So, for y = 6x, the value of y when x = 2 is 12, when x = 3 is 18, and when x = 0 is 0.
#SJP1
Answer:
Step-by-step explanation:
To make a table of values of x and y and use it to draw the graph of the relationship y = 0.6x, y = 4x and y = 6x, we can substitute different values of x into each equation and find the corresponding value of y.
To Find:
to make a table of values of x and y for each equation and use it to draw the graph of the relationship by plotting the points on a graph.
to find the value of y when x = 2, x = 3 and x = 0 for each equation.
Given:
three relationships are given in the form of equations y = 0.6x, y = 4x and y = 6x
Solution:
To make a table of values of x and y and use it to draw the graph of the relationship y = 0.6x, y = 4x and y = 6x, we can substitute different values of x into each equation and find the corresponding value of y.
For y = 0.6x:
x | y
0 | 0
1 | 0.6
2 | 1.2
3 | 1.8
4 | 2.4
5 | 3.0
For y = 4x:
x | y
0 | 0
1 | 4
2 | 8
3 | 12
4 | 16
5 | 20
For y = 6x:
x | y
0 | 0
1 | 6
2 | 12
3 | 18
4 | 24
5 | 30
We can use these values to plot the points on a graph and draw the lines for each equation.
(b) To find the value of y when x = 2, 3, and 0 for each equation we can substitute these values of x into the equation and solve for y.
For y = 0.6x:
x = 2, y = 0.6(2) = 1.2
x = 3, y = 0.6(3) = 1.8
x = 0, y = 0.6(0) = 0
For y = 4x:
x = 2, y = 4(2) = 8
x = 3, y = 4(3) = 12
x = 0, y = 4(0) = 0
For y = 6x:
x = 2, y = 6(2) = 12
x | y
0 | 0
1 | 6
2 | 12
3 | 18
4 | 24
5 | 30
And for x = 2, 3, and 0, we can substitute these values into the equation y = 6x and find the corresponding value of y.
x = 2, y = 6(2) = 12
x = 3, y = 6(3) = 18
x = 0, y = 6(0) = 0
So, for y = 6x, the value of y when x = 2 is 12, when x = 3 is 18, and when x = 0 is 0.