Answer:
[tex]y[/tex] ranges from 2890 miles to 5780 miles.
Step-by-step explanation:
Let us call [tex]y[/tex] the number of miles the car travels, and [tex]x[/tex] the number of gallons of gas that are used, then we have the relationship
[tex]y=17x[/tex] (this says the car travels 17 miles for each gallon of gas).
Now, when [tex]x=170[/tex], we have
[tex]y=17(170)[/tex]
[tex]y=2890\: miles[/tex]
and when [tex]x=340[/tex], we have
[tex]y=17(340)[/tex]
[tex]y=5780\:miles[/tex]
So, when [tex]x[/tex] goes from 170 to 340, [tex]y[/tex] goes from [tex]2890[/tex] to [tex]5780[/tex].
Therefore, when [tex]x[/tex] ranges from 170 to 340 gallons, the distance traveled ranges from 2890 to 5780 miles.
