Use the dropdown menu and answer-blank below to form a true statement.

sombereki51
2022-09-17
Answered

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.

Use the dropdown menu and answer-blank below to form a true statement.

Use the dropdown menu and answer-blank below to form a true statement.

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rae2721

Answered 2022-09-18
Author has **6** answers

Step 1

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

${y}_{k}=23.2x$

$=23.2(1)$

$=23.2$

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.

${y}_{c}=\frac{127.5}{3}$

$=42.5$

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.

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.

${y}_{k}=23.2x$

$=23.2(1)$

$=23.2$

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.

${y}_{c}=\frac{127.5}{3}$

$=42.5$

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.

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