Question

On the first 4 days of the week Shannon 30 min 28 min34 min, and 31 min get to school If the average time for week was 31 how long did Shannon take to get to school on Friday ?I put a example on how my teacher did it.

Answer 1

Answer: 32 min

Step-by-step explanation:

The values we have for the first days of the week are:

Day 1: 30 min

Day 2: 28 min

Day 3: 34 min

Day 4: 31 min

We need to find day 5 (Friday)

Day 5: x

We are told that the average of the week is 31. So we need to use the formula for the average:

`\frac{Sum\text{ of the data}}{\text{number of data}}=\text{average}`

This will be as follows:

`(30+28+34+31+x)/(5)=31`

Note* we sum all the times of the week including x, and divide by the number of days which is 5.

Now we need to solve this equation for x.

Step 1: combine all the like terms:

`(123+x)/(5)=31`

Step 2: Multiply both sides of the equation by 5

`\begin{gathered} (5)(123+x)/(5)=31(5) \\ 123+x=155 \end{gathered}`

Step 3: Substract 123 from both sides of the equation

`\begin{gathered} 123-123+x=155-123 \\ x=32 \end{gathered}`

• how long did Shannon take to get to school on Friday? ,32 min