Question

5 diegos 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 this week is 8,019. a. write an inequality that expresses the mean number of steps that diego needs to walk during the last 3 days of this week to walk more than 70,000 steps. remember to define any variables that you use. b. if the mean number of steps that diego walks during the last 3 days of the week is 12,642, will diego reach his goal of walking more than 70,000 steps this week?

Explanation:

Step1: Calculate total steps in first 4 days

The mean number of steps in the first 4 days is 8019. So the total number of steps in the first 4 days is $4\times8019 = 32076$. Let $x$ be the mean number of steps per day in the last 3 - day period. Then the total number of steps in the last 3 days is $3x$.

Step2: Write the inequality

The total number of steps in the week should be more than 70000. So, $32076 + 3x>70000$.

Step3: Solve part b

If the mean number of steps in the last 3 days, $x = 12642$, then the total number of steps in the last 3 days is $3\times12642=37926$. The total number of steps in the week is $32076 + 37926=70002$. Since $70002>70000$, Diego will reach his goal.

Answer:

a. Let $x$ be the mean number of steps Diego needs to walk during the last 3 days of the week. The inequality is $32076 + 3x>70000$.
b. Yes, Diego will reach his goal.