Answer
Model:
[tex]number\text{ }of\text{ }miles\text{ }Julie\text{ }jogs\text{ }per\text{ }time\cdot number\text{ }of\text{ }times\text{ }she\text{ }jogs\text{ }per\text{ }day=total\text{ }number\text{ }of\text{ }miles\text{ }she\text{ }jogs\text{ }per\text{ }day[/tex]
Equation:
[tex]\frac{3}{4}\cdot x=6[/tex]
Solution:
[tex]x=8[/tex]
Step-by-step explanation
The problem presents 3 variables:
• number of miles Julie jogs per time
,
• number of times she jogs per day
,
• total number of miles she jogs per day
The model that relates these variables is:
She jogs 3/4 miles at a time and she jogs a total of 6 miles per day. Calling x to the unknown number of times she jogs per day, we get:
[tex]\begin{gathered} \frac{3}{4}\frac{miles}{time}\cdot x\frac{times}{day}=6\frac{miles}{day} \\ \text{ Omitting the units:} \\ \frac{3}{4}\cdot x=6 \\ \text{ Solving for x:} \\ \frac{4}{3}\cdot\frac{3}{4}\cdot x=\frac{4}{3}\cdot6 \\ x=8\text{ times} \end{gathered}[/tex]
She jogs 8 times per day.
