Answer: [tex]29.25\ miles[/tex] farther.
Step-by-step explanation:
Let be "a" the amount of miles Anna drives to work and "t" the he amount of miles Tanya drives to work.
According to the exercise "Tanya drives 7.5 times farther to work than Anna drives". This indicates a multiplication.
Knowing this, you can write the following equation:
[tex]t=7.5a[/tex]
Based on the information given in the exercise, Anna drives 3.9 miles to work, you can substitute [tex]a=3.9[/tex] into the equation:
[tex]t=7.5a[/tex]
Then, evaluating you get:
[tex]t=7.5a\\\\t=7.5(3.9)\\\\t=29.25[/tex]
Therefore, Tanya drives 29.25 miles farther to work than Anna.
