Answer:
The constant of proportionality for this situation is 3.2
Step-by-step explanation:
For the given situation we can say that, the amount spent to fill the gas directly varies with the number of gallons of gas filled.
We can say,
[tex]\$72.00=k\times 22.5[/tex]
where [tex]k[/tex] is the constant of proportionality which is nothing but the units rate of gas in dollars per gallon.
Dividing both sides by 22.5 to find [tex]k[/tex]
[tex]\frac{72.00}{22.5}=\frac{k\times 22.5}{22.5}[/tex]
∴ [tex]k=3.2[/tex]
Unit rate of gas = $3.2/gallon
∴ The constant of proportionality for this situation is 3.2.