Answer:
The range of y is the interval [10,20]
Step-by-step explanation:
Let
x ----> the distance in miles
y ----> the number of gallons
The linear equation that represent this problem is
[tex]x=17y[/tex] ----> is a direct variation
isolate the variable y
[tex]y=\frac{1}{17} x[/tex]
For x=170 miles ----> [tex]y=\frac{1}{17} (170)=10\ gal[/tex]
For x=340 miles ----> [tex]y=\frac{1}{17} (340)=20\ gal[/tex]
therefore
The range of y is the interval [10,20]
