Alice is sitting down to a meal with her original base 2 cake and beverage. That is, 1 ounce of cake doubles her height and 1 ounce of beverage halves her height. Find answers to the nearest tenth of an ounce or tenth of a foot for each question. Explain your answers.

1. If Alice is 1 foot tall, how much cake should she eat to become 10 feet tall?

2. a. If Alice is 1 foot tall, how much cake should she eat to become 100 feet tall?

b. Compare your result in part a to your answer in Question 1. Discuss the connection between the two problems.

3. If Alice is 9 feet tall and wants to be 3 feet tall, how much beverage should she drink?

4. If Alice is 20 feet tall and drinks 2.4 ounces of beverage, how tall will
she be?

5. Alice has just discovered base 10 cake! She is delighted with how powerful it is. One day, after nibbling on the cake, Alice realizes she is 1 mile tall. Having her head in the sky makes her think about space travel. She decides she wants to visit the moon, which is about 239,000 miles from the earth. How many more ounces of base 10 cake should Alice eat so the top of her head just touches the moon? Give your answer to the nearest hundredth of an ounce.

6. After her head reaches the moon, Alice continues to enjoy the cake. Eventually her head reaches Pluto, which at the time is approximately 3,670,000,000 miles from the earth. But she forgot to keep track of how many ounces of cake she ate to grow that tall. How many ounces of base 10 beverage must Alice drink to return to a height of 1 mile? Give your answer to the nearest hundredth of an ounce.

Please help me I'm offering 50 points for them all answered