Question

Diego's goal is to walk more than 70,000 steps this week. The mean number of steps that Diego walked during the first 4 days of the week is 8,019.Write an inequality that expresses the mean number of steps that Diego needs to walk during the last 3 days of the week to walk more than 70,000 steps. Remember to define any variables that you use.

Answer 1

`32076+3x>70000`

Explanation:

We know that the average is the amount of in each day, divided by the number of days, in this case it would be 7 days. We know that the total number of steps would be 4 times the average of 4 days and 3 times x, where x is the number of steps in each day, therefore:

`\begin{gathered} \text{ \#total steps= 4}\cdot8019+3x \\ \text{ \#total steps= }32076+3x \end{gathered}`

Therefore, the equation would be the following:

`32076+3x>70000`