Question

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

Answer 1

The constant of proportionality for this situation is 3.2

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,

`\$72.00=k* 22.5`

where
`k` 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
`k`

`(72.00)/(22.5)=(k* 22.5)/(22.5)`

∴
`k=3.2`

Unit rate of gas = $3.2/gallon

∴ The constant of proportionality for this situation is 3.2.