Respuesta :
Answer:
Explanations:
Let the distance traveled by Ravi be "d"
Let the number of gallons used to be "g"
The relationship between the distance traveled and the number of gallons is a direct proportionality. Mathematically;
[tex]\begin{gathered} \text{ d }\propto\text{ g} \\ \text{ d = kg} \\ \text{ k = }\frac{d}{g} \end{gathered}[/tex]k is the variation constant
If Ravi drove 260 miles using 12 gallons of gas, this means that
d = 260 miles and g = 12 gallons. Substitute the given values into the formula;
[tex]\begin{gathered} k=\frac{260}{12} \\ k=\frac{65}{3} \end{gathered}[/tex]To calculate the number of gallons of gas he would need to drive 286 miles, substitute k = 65/3 and d = 286miles into the original formula.
[tex]\begin{gathered} d=kg \\ 286=\frac{65}{3}g \\ 65g=286\times3 \\ g=\frac{286\times3}{65} \\ g=\frac{858}{65} \\ g=13.2gallons \end{gathered}[/tex]Hence the number of gallons needed to drive 286 miles is 13.2gallons
