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- Hey, Anne! Is it okay if I ask you to assist me with my homework? It's about giving a real-life example of direct variation.
- Yeah sure! No problem. Let us begin.
- So, the first step that we are going to do is to write the right equation and that direct variations are solved using the equation, y = kx. Right?
- A recipe for 7 cupcakes needs 2 cups of flour. The number of cupcakes you can make varies directly with the amount of flour. How many cupcakes can you make with 4 cups of flour?
- Yes! You are right. Then, You use the information given in the problem to find the value of k. In this case, you need to find k when x = 2 and y = 7.
- what's the next step?
- Rewrite the equation from step 1 substituting in the value of y found in step 2.
- After doing the step 2, We can now proceed directly to solving the problem.
- Then what's the solution and answer?
- 7 = k x 2 , 14 = kTherefore, y = 14x is the direct variation equation.
- Meaning to say, we can make 56 cupcakes. I get it now. Thank you, Anne!
- You're welcome.
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