timis mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of unleaded gas. What is the constant of proprotionality in this situation

Respuesta :

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.

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