Answer: 363.6 miles.
Step-by-step explanation:
1. You know that the motorist traveled 250 miles on 11 gallons of gas. Then, to calculate how far could the motorist go on 16 gallons of gas (with the same vehicle), you only need to multiply 16 gallons by 250 miles and divide this by 11 gallons.
2. Keeping this on mind, let's call the distance the motorist could go on 16 gallons of gas [tex]x[/tex], then:
[tex]x=\frac{16gallons*250miles}{11gallons}[/tex]
3. Therefore, you obtain the following result:
[tex]x=363.3miles[/tex]
