Maribel is training for a marathon. She plans to run 2 miles each day for the first month and then the next month doubling her distance, and so on. If she does this for 4 months, what expression, using exponents, shows how far she now runs in a day?(1 point)

Question

Responses

22
2 squared

24
2 superscript 4 baseline

44
4 superscript 4 baseline

42

Answer 1

Maribel starts by running 2 miles each day for the first month. She then doubles her daily distance each subsequent month.

• Month 1: 2 miles
• Month 2: 2 * 2 = \(2^2\) miles
• Month 3: \(2^2 * 2 = 2^3\) miles
• Month 4: \(2^3 * 2 = 2^4\) miles

Thus, by the end of the fourth month, Maribel runs \(2^4\) miles each day.

The correct expression using exponents that shows how far she runs in a day after 4 months is:

2 superscript 4 baseline.