Answer :
The Table containing 270 miles 15 gallons and 135 miles 7.5 gallons depicts proportionate relationship between miles traveled and gas used.
The way that two quantities are related to one another changes proportionally.
a= kb
where the proportional constant is known as k.
Let's assume that y miles have been traveled.
Let's suppose that the gas was x.
[tex]y \alpha x[/tex]
y = ca
Where c is the proportional constant .
In first table
Distance traveled: 27.3 miles
utilized gas = 1.5 gal
Adding the expression y = ca
27.3 = 1.5c,
c = 18.2
Travel distance is 49.16 miles.
Gas consumed: 3.8 gal.
Adding y = ca
49.16 = 3.8c
c = 12.94 to the equation (Approx)
As a result, the miles traveled are not affected by the amount of gas utilized.
As a result, the proportionate relationship is not shown in the table.
Second table
Miles travelled = 135 mi
Gas used = 7.4 gal
Putting in the formula
y = ca
135 = 7.4c
c = 18.2
Miles travelled = 135.5 mi
Gas used = 7.9 gal
Putting in the formula
y = ca
135.5 = 7.9c
c = 17.2 (Approx)
As a result, the miles traveled are not affected by the amount of gas utilized.
As a result, the proportionate relationship is not shown in the table.
Third table
Miles travelled = 120 mi
Gas used = 6.2 gal
Putting in the formula
y = ca
120 = 6.2c
c = 19.4 (Approx)
Miles travelled = 180 mi
Gas used = 12.2 gal
Putting in the formula
y = ca
180 = 12.2c
c = 14.8 (Approx)
Thus, the number of miles driven is not affected by the amount of gas utilized.
Table therefore does not display the proportional relationship.
Fourth table
Miles travelled = 270 mi
Gas used = 15gal
Putting in the formula
y = ca
270 = 15c
c = 18
Miles travelled = 135 mi
Gas used = 7.5 gal
Putting in the formula
y = ca
135= 7.5c
c = 18
The miles traveled therefore depend on the amount of gas utilized.
The proportional relationship is therefore displayed in the table.
Hence, The table that shows 270 miles,15 gallons of gas and 135 miles,7.5 gallons of gas shows the proportionate relationship between the miles travelled and gallons used.
To learn more about proportionate relationship click here:
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