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.

sombereki51

sombereki51

Answered question

2022-09-17

Two friends, Kennedy and Carson, had just bought their first cars. The equation y = 23.2 x 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.
Use the dropdown menu and answer-blank below to form a true statement.

Answer & Explanation

rae2721

rae2721

Beginner2022-09-18Added 8 answers

Step 1
To find the distance travelled by person K using one gallon of gas, substitute 1 for x in the equation y = 23.2 x, and simplify.
y k = 23.2 x
= 23.2 ( 1 )
= 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 = 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.

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