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)
Responses
42
4 squared
22
2 squared
24
2 superscript 4 baseline
44
4 superscript 4 baseline
The correct expression, using exponents, to show how far Maribel now runs in a day is 2^4 or "2 superscript 4 baseline".
To understand the expression that shows how far Maribel runs in a day, we need to consider the pattern mentioned.
In the first month, Maribel runs 2 miles each day.
In the second month, she doubles her distance, which means she runs 2*2 = 4 miles each day.
In the third month, she doubles her distance again, which means she runs 2*2*2 = 2^3 = 8 miles each day.
In the fourth month, she doubles her distance once more, which means she runs 2*2*2*2 = 2^4 = 16 miles each day.
Therefore, the expression that shows how far Maribel runs in a day is 2^4 or "2 superscript 4 baseline". So, the correct answer is 24.
To find the expression that shows how far Maribel runs in a day after 4 months of training, we need to determine the pattern of her distances.
In the first month, Maribel runs 2 miles per day.
In the second month, she doubles her distance, so she runs 2 * 2 = 4 miles per day.
In the third month, she doubles her distance again, so she runs 4 * 2 = 8 miles per day.
In the fourth month, she doubles her distance once more, so she runs 8 * 2 = 16 miles per day.
To generalize this pattern, we see that each month Maribel doubles her distance. Since she started with 2 miles per day, multiplying by 2 for each month gives us the expression 2 * 2 * 2 * 2, which can be written using exponents as 2^4 or 2 raised to the power of 4.
Therefore, the correct expression is "2 superscript 4 baseline."