# Two friends, Kennedy and Carson, had just bought their first cars. The equation y=23.2x represents the number of miles, y, that Kennedy can drive her car for every x gallons of gas. Carson uses 3 gallons of gas to drive 127.5 miles in his car.

Two friends, Kennedy and Carson, had just bought their first cars. The equation $y=23.2x$ represents the number of miles, y, that Kennedy can drive her car for every x gallons of gas. Carson uses 3 gallons of gas to drive 127.5 miles in his car.
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Step 1
To find the distance travelled by person K using one gallon of gas, substitute 1 for x in the equation $y=23.2x$, and simplify.
${y}_{k}=23.2x$
$=23.2\left(1\right)$
$=23.2$
Therefore, person K can travel 23.2 miles for one gallon of gas.
Step 2
To find the distance travelled by person C using one gallon of gas, divide 127.5 by 3.
${y}_{c}=\frac{127.5}{3}$
$=42.5$
Therefore, person C can travel 42.5 miles for one gallon of gas.
Step 3
To compare the results, find the difference between the distance travelled by them.
Difference $={y}_{c}-{y}_{k}$
$=42.5-23.2$
$=19.3$
Thus, on one gallon of gas the person C can travel 19.3 miles more than person K.