Question

hello I'm a 7th grade student having trouble with this word problem ..can u please help me ....I need help with how to model the problem situation and how to write out the equation to the problem

Answer 1

Model:

`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`

Equation:

`(3)/(4)\cdot x=6`

Solution:

`x=8`

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:

`\begin{gathered} (3)/(4)(miles)/(time)\cdot x(times)/(day)=6(miles)/(day) \\ \text{ Omitting the units:} \\ (3)/(4)\cdot x=6 \\ \text{ Solving for x:} \\ (4)/(3)\cdot(3)/(4)\cdot x=(4)/(3)\cdot6 \\ x=8\text{ times} \end{gathered}`

She jogs 8 times per day.