Question

1. a car has a gas mileage rating of 52 miles per gallon in the city. based on this rating, how many kilometres can this car travel on 15 litres of gasoline? hint: 1 gal = 4.5 l; 1 mi = 1.61 km step 1: find number of gallons in 15 l. step 2: find the number of miles. step 3: convert miles into kilometres.

Explanation:

Step1: Find number of gallons in 15 L

We know that 1 gal = 4.5 L. Let the number of gallons in 15 L be $x$. Then, using the proportion $\frac{1}{4.5}=\frac{x}{15}$. Cross - multiplying gives $4.5x = 15$, so $x=\frac{15}{4.5}=\frac{150}{45}=\frac{10}{3}\text{ gal}$.

Step2: Find the number of miles

The car has a gas - mileage of 52 miles per gallon. If there are $\frac{10}{3}$ gallons of gas, the number of miles $y$ the car can travel is $y = 52\times\frac{10}{3}=\frac{520}{3}\text{ miles}$.

Step3: Convert miles into kilometres

We know that 1 mi = 1.61 km. Let the number of kilometres be $z$. Then $z=\frac{520}{3}\times1.61=\frac{520\times1.61}{3}=\frac{837.2}{3}\approx279.07\text{ km}$

Answer:

Approximately 279.07 km