Question

Roblem 7

Shayna claims she can read minds. "Prove it!" said Emerson. "Fine," said Shayna. "Just follow my
directions"
a. Follow Shayna's directions below and record your current value for every step.
Your Current Value
3
Shayna's Directions
Think of a number, any number, but don't tell
it to me!
Multiply by 2.
Multiply by 5.
Divide your current value by the original
number.
Subtract 7 from what you have now.
30
10
3
b. "Your answer is 3!" says Shayna triumphantly.
Do you think Shayna read your mind? Explain why or why not.
Yes, she did, at first my number was 3
and my finey uureprese
c. Write an equation to represent all of Shayna's steps.
3.2.5

Answer 1

Shayna's directions involve several steps: think of a number, multiply by 2, multiply by 5, divide by the original number, and subtract 7.

Following these steps will always result in the number 3 as the final answer.

Step-by-step explanation:

Shayna's directions involve several steps:

1. Think of a number (let's say it's x).
2. Multiply the number by 2 (2x).
3. Multiply the result by 5 (10x).
4. Divide the current value by the original number (10x/x = 10).
5. Subtract 7 from the current value (10 - 7 = 3).

In this case, when the student followed Shayna's directions starting with the number 3, they ended up with 3 as the final value.

Shayna claimed that the answer is 3, and since the student's original number was 3, it makes it appear as if Shayna read their mind.

However, in reality, Shayna's directions will always lead to the final value of 3 due to the mathematics involved in the steps. It is not mind-reading but a mathematical pattern.