y = constant * x
is direct
like
y = x is a straight line at 45 degrees to the x axis
y = constant / x
is inverse
like
y = 10/x
if x = 1, y = 10
if x = 2, y = 5
if x = 5, y = 2
if x = 10, y = 1
if x = 100, y = 0.01
NOT a straight line
Could someone explain what direct and inverse variation is?
Also look at attached questions:
imgur[]/Fd03pg0
and
imgur[]/a/opEdofY
Please replace the [] with .com
the [] is equivalent to a: " .com " or .com
Please explain how they are solved. Primarily the 2nd one.
4 answers
error fix
if x = 100, y = 0.1
if x = 100, y = 0.1
That didn't answer the questions in the images.
since y = ks is the equation for direct variation,
any straight line passing through (0,0) is the graph of a direct variation.
For the 2nd image, since (2,3) is a point on the graph, just draw a line through A and (0,0).
3 = 3/2 * 2, so any point on the line y = 3/2 x will have coordinates where y is 3/2 as big as x. So, as long as x is an even integer, y will also be an integer.
any straight line passing through (0,0) is the graph of a direct variation.
For the 2nd image, since (2,3) is a point on the graph, just draw a line through A and (0,0).
3 = 3/2 * 2, so any point on the line y = 3/2 x will have coordinates where y is 3/2 as big as x. So, as long as x is an even integer, y will also be an integer.
6 answers