12. shondas car gets an average of 27 miles per gallon. gas costs $2.25 per gallon and she drives 892 miles…

Explanation:

Step1: Find the number of gallons used

We know the car gets 27 miles per gallon and drives 892 miles. The conversion - factor for gallons used is $\frac{1\ gallon}{27\ miles}$. The number of gallons $g$ used is calculated by $g=\frac{892\ miles}{27\ miles/gallon}=\frac{892}{27}\ gallons$.

Step2: Calculate the cost of gas

The cost of gas per gallon is $2.25. The conversion - factor for cost is $\frac{$2.25}{1\ gallon}$. The total cost $C$ is $C = \frac{892}{27}\ gallons\times$2.25/gallon$. [ \begin{align*} C&=\frac{892\times2.25}{27}\ &=\frac{892\times\frac{9}{4}}{27}\ &=\frac{892\times9}{4\times27}\ &=\frac{8028}{108}\ & = 74.33 \end{align*} ]

Answer:

The conversion factors are $\frac{1\ gallon}{27\ miles}$ and $\frac{$2.25}{1\ gallon}$. She will spend approximately $$74.33$ on gas.