Question

On average, a student looks at their phone 85 times per day and is distracted for 125 seconds each time. Over the course of 4.0 weeks of school, how many minutes do students spend looking at their phone? Option 1: 4,250 minutes Option 2: 21,250 minutes Option 3: 5,312.5 minutes Option 4: 2,125 minutes

Answer 1

`4,\!958.\overline{3} \text{ min}`

Explanation:

We can calculate how many minutes per day that a student spends on their phone on average by multiplying how many times per day that they look at their phone by how much time they spend each time:

`\frac{85\text{ times}}{1\text{ day}} \cdot \frac{125\text{ sec}}{1\text{ time}}`

↓ converting the second fraction to minutes

`\frac{85 \text{ times}}{1\text{ day}} \cdot \frac{2.08\overline{3}\text{ min}}{1\text{ time}}`

↓ executing the multiplication (and canceling time units)

`\frac{177.08\overline{3}\text{ min}}{1\text{ day}}`

Next, we can multiply this ratio by the total number of days in 4 weeks to get the answer:

There are 7 days a week, so there are 7 × 4 = 28 days in 4 weeks.

`\frac{177.08\overline{3}\text{ min}}{1\text{ day}} \cdot 28\text{ days}`

`\boxed{= 4,\!958.\overline{3} \text{ min}}`