Question

exit ticket 💰 seal the deal! $2 summary
directions:

• each word costs 10 c.
• you have a budget of $2.00 = 20 words max.
• use math vocabulary (reflection, x - axis, y - axis, coordinates),
• be clear and concise — explain the idea in your own words.

prompt:
write a $2 summary explaining the rules for reflecting a figure across the x - axis and across the y - axis.

Explanation:

Step1: Determine the cost per word

Each word costs \(10c=\$0.10\)

Step2: Calculate the maximum number of words

Let \(n\) be the number of words. We know that the cost \(C = 0.1n\) and the budget \(C=\$2.00\). So, \(0.1n=2\), then \(n=\frac{2}{0.1}=20\) words (which is already given as a constraint).

Step3: Explain reflection across x - axis

When reflecting a point \((x,y)\) across the \(x\) - axis, the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. So the rule is \((x,y)\to(x, - y)\)

Step4: Explain reflection across y - axis

When reflecting a point \((x,y)\) across the \(y\) - axis, the \(y\) - coordinate remains the same and the \(x\) - coordinate changes its sign. So the rule is \((x,y)\to(-x,y)\)

Answer:

When reflecting a point \((x,y)\) across the \(x\) - axis, use the rule \((x,y)\to(x, - y)\). When reflecting a point \((x,y)\) across the \(y\) - axis, use the rule \((x,y)\to(-x,y)\)