Question

1. higher order thinking roger made a table showing how he spends his time in one day. how many days will go by before roger has slept the equivalent of one day? explain how you found your answer. data amount of time spent on activities in one day activity part of day work \\(\frac{1}{3}\\) day sleep \\(\frac{3}{8}\\) day meals \\(\frac{1}{8}\\) day computer \\(\frac{1}{6}\\) day

Explanation:

Step1: Define target and daily sleep

Let $x$ = number of days, daily sleep = $\frac{3}{8}$ day.
Total sleep target: $1$ day.
Equation: $x \times \frac{3}{8} = 1$

Step2: Solve for x

Rearrange to isolate $x$:
$x = \frac{1}{\frac{3}{8}} = 1 \times \frac{8}{3}$

Answer:

$\frac{8}{3}$ (or $2\frac{2}{3}$) days. This means after $2\frac{2}{3}$ days, Roger will have slept the equivalent of one full day.