Question

The given table shows the distance driven by Starc in miles $\left(y\right)$ and the amount of gasoline used in gallons $\left(x\right)$ to travel that distance.

Distance (mi)	$40$	$100$
Gasoline used (gal)	$2$	$5$

What distance can Starc travel with 10 gallons of gasoline?

• A. $200$ mi
• B. $105$ mi
  
• C. $120$ mi
• D. $115$ mi

Answer 1

The correct option is A $200$ mi

We have the two sets of points in the table: $(2,40)$, and $(5,100)$.
From the given table,

$\frac{x}{y}=\frac{40}{2}=20$

Also, $\frac{x}{y}=\frac{100}{5}=20$

Hence the given table represents a proportional relationship. The value $\frac{y}{x}$ represents the constant of proportionality or the unit rate.
So, Starc can travel $20$ mi in $1$ gal of gasoline.
Hence, distance covered by Starc with 10 gal of gasoline $=20\times 10=200$ mi