Grade 10 Representing Linear Relations

Being able to represent a linear relation using a table of values, a graph or an equation is an important skill that you learned in grade 9. This lesson goes through several word problems as well as how to determine if an ordered pair is on the line (or another way of saying this is whether is satisfies the equation). You must be careful that you don't join the dots when you are dealing with a specific number of items such as the number of cupcakes or cookies that you can buy at the school bake sale. You will NOT be able to buy fractions of cookies (or crumbs!), at least not in the real world!

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Dear Math Sensei, I got an equation to find out how many cookies we get for each cupcake. Where x = cupcakes, y = cookies, and total cost = 15 dollars. From the original formula 0.75x + 0.25x = 15, I multiplied each term by 4 and the result is 3x + y = 60, therefore y = 60 - 3x. So for example, if I buy 12 cupcakes (x), I replace the x. I'll have y = 60 - 3(12) ↓ y = 60- 36 ↓ y = 24 cookies. What do you think??? I'm loving your videos!!!