For each of the following equations, draw the graph and determine the gradient (if possible):
Given the lines : and : .
Algebraically determine for each line the intersects with both axes.
Use your graphic calculator to plot both graphs in the same window.
Determine the coordinates of the point of intersection of the two graphs (rounded to two decimals).
You have to buy drinks for a group of people. To do so, you are going to buy 1-litre packs of apple juice and orange juice. You need packs, and you have a budget of € 100. Apple juice costs € 0.90 per litre and orange juice costs € 1.05 per litre. Use for the number of packs of apple juice and for the number of packs of orange juice.
What are the two equations that these variables have to solve?
Use your graphic calculator to plot both graphs in the same window.
Both variables can only take on whole numbers as values. Which solution do you find if you want to be left with as little money as possible?
The following puzzle is credited to Euclid (about B.C.).
A donkey and a mule are walking alongside each other, both heavily loaded with bags. The donkey moans and sighs, straining under his load, whereupon the mule says to him: What are you complaining about!? I would be carrying twice as much as you if I took one of your bags, whereas if I gave you one of my bags we would each be carrying the same amount. How many bags does each animal carry? |
Solve the puzzle.