Questionc. Check your answer by measuring, if possible.
12 Exploration Diego walks the same number of miles to school each day. He says he wal $\frac{48}{5}$ miles in total, but he does not say how many days that distance include
What are some possible numbers of days Diego walks to school? What is distance he walks each of those days?

Studdy Solution
For each factor $n$ of 48, compute $\frac{48}{5n}$ and check if it results in a rational number:
- $n = 1$: $\frac{48}{5 \times 1} = \frac{48}{5} = 9.6$ - $n = 2$: $\frac{48}{5 \times 2} = \frac{24}{5} = 4.8$ - $n = 3$: $\frac{48}{5 \times 3} = \frac{16}{5} = 3.2$ - $n = 4$: $\frac{48}{5 \times 4} = \frac{12}{5} = 2.4$ - $n = 5$: $\frac{48}{5 \times 5} = \frac{48}{25} = 1.92$ - $n = 6$: $\frac{48}{5 \times 6} = \frac{8}{5} = 1.6$ - $n = 8$: $\frac{48}{5 \times 8} = \frac{6}{5} = 1.2$ - $n = 10$: $\frac{48}{5 \times 10} = \frac{48}{50} = 0.96$ - $n = 12$: $\frac{48}{5 \times 12} = \frac{4}{5} = 0.8$ - $n = 15$: $\frac{48}{5 \times 15} = \frac{48}{75} = 0.64$
Possible numbers of days Diego walks to school are 1, 2, 3, 4, 6, 8, 10, 12, and 15, with corresponding daily distances of 9.6, 4.8, 3.2, 2.4, 1.92, 1.6, 1.2, 0.96, 0.8, and 0.64 miles respectively.