amtaya.blogg.se - Linear graph

#Linear graph how to#

And pushing towards all money spent on ties gives (0,6 ¾) as a solution. Pushing towards all money spent on socks gives (10 1/3, 0) as a solution. Mary has $31 to spend on x socks and y ties.Only one of the end points is easy to find by setting x = 0 or y = 0. Solve these equations for whole numbers by drawing graphs.Graph this to find all the “cross” solutions. This enables two whole number points to be used to draw 3 x + 4 y = 27. ((0,6 ¾) does not sit on a lattice point so there are potential problems with accuracy of plotting.) Discuss how buying 1 pair of socks leaves $24 for ties so (1, 6) is a solution. But pushing towards all money spent on ties gives (0,6 ¾) as a solution. Pushing towards all money spent on socks gives (9,0) as a solution. This time Mary has $27 to spend on x socks and y ties.Use graphs to find the whole number solutions to:.Discuss the whole number answers to 3x+4y≤12.Then the solution set is all whole number “crosses” on or below 3x+4y=12 as shown in the graph

#Linear graph how to#

Discuss how to graph 3x+4y=12 as in session 1.

What combinations of socks and ties are possible? Mary does not have to spend all her money. A pair of socks costs $3 and a tie costs $4. Mary has $12 to spend on x socks and y ties. (It would be parallel to the other 3 lines, and its position would depend on the number k.

Discuss what the graph of 3x+4y=k would be like.

If there is room on the same graph solve Mary’s problem if she had $72 dollars to spend and add the equation of the graph (3x+4y=72).

If there is room on the same graph solve Mary’s problem if she had $36 dollars to spend and add the equation of the graph (3x+4y=36).

Discuss what the equation of this graph is.

What are other solutions? (The graph shows all 5 solutions at the lattice or “cross” points. Discuss why connecting the points is sensible. Set up the graph with suitable axes and plot the points.

Discuss whether there are other solutions eg (4, 9).

(Plot socks on x-axis and ties on y-axis, therefore (16, 0) and (0, 12))

Discuss how you could show these solutions as points on a graph.

Discuss why this gives 16 pairs of socks, or 12 ties as solutions.

Here this could mean Mary buys all socks and then Mary buys all ties. One of Polya’s problem solving ideas is to push to the extremes. What combinations of socks and ties can Mary buy?