One meaning of a 'linear' equation is that if you draw the graph
of the equation, the graph will be a straight line.
That's an easy way to test the equation . . . find 3 points on the
graph, and see whether they're all in a straight line.
This equation is y = 4 / x .
To find a point on the graph, just pick any number for 'x',
and figure out the value of 'y' that goes with it.
Do that 3 times, and you've got 3 points on the graph.
Here ... I'll do 3 quick points:
Point-A: x = 1 y = 4 / 1 = 4
Point-B: x = 2 y = 4 / 2 = 2
Point-C: x = 4 y = 4 / 4 = 1
Look at this:
Slope of the line from point-A to point-B
= (change in 'y') / (change in 'x') = -2 .
Slope of the line from point-B to point-C
= (change in 'y') / (change in 'x') = -1/2 .
The two pieces of line from A-B and from B-C don't even have
the same slope, so they're not pieces of the same straight line !
So my points A, B, and C are NOT in a straight line.
So the equation is NOT linear.
Try it again with three points of your own.
Answer:
y = -6/3x + 8
Step-by-step explanation:
Well it would actually be 7.2 inches per each piece
Answer:
$0.79.
Step-by-step explanation:
Let T= The price of beach towel,
P = The cost of each postcard.
S = The cost of sunglasses.
H = The cost of hat.
We have been given that while on vacation Craig bought a pair of sunglasses for $15.98. The beach towel cost 0.50 cents more than half the price of sunglasses.
We can set this information in an equation as:
We are told that Craig gave the cashier $40 and got 3.59 change and each postcard cost the same. So we can set this information in an equation as:
Let us substitute our given values.
Let us combine like terms.
Let us subtract 32.46 from both sides of our equation.
Let us divide both sides of our equation by 5.
Therefore, each postcard costs $0.79.
