Question

in this activity, you will apply what you have learned in the lesson. please answer the questions below. submit this worksheet to your teacher when you are done. this project is worth 40 points.

part 1: following an algorithm (2 points)

follow each step of the algorithm to reach the desired output. then answer the questions below.

algorithm
step 1: pick a number between 1 and 10.
step 2: multiply this number by 2.
step 3: multiply the result by 5.
step 4: divide the result by the original number you picked.
step 5: subtract 7 from the result.

1. what was your output after following the algorithm? show your work. (1 point)

1. perform the algorithm again, using a different number between 1 and 10. what was your output after following the algorithm? show your work. (1 point)

Explanation:

Step1: Pick number 3 (1-10)

Chosen number: $3$

Step2: Multiply by 2

$3 \times 2 = 6$

Step3: Multiply by 5

$6 \times 5 = 30$

Step4: Divide by original number

$\frac{30}{3} = 10$

Step5: Subtract 7

$10 - 7 = 3$

Step1: Pick number 7 (1-10, new)

Chosen number: $7$

Step2: Multiply by 2

$7 \times 2 = 14$

Step3: Multiply by 5

$14 \times 5 = 70$

Step4: Divide by original number

$\frac{70}{7} = 10$

Step5: Subtract 7

$10 - 7 = 3$

Answer:

1. Output: $3$
2. Output: $3$