Answer:
25 gallons
Explanation:
Given
135 miles to 5 gallons
Required
Determine the number of gallons for 675 miles
From the question, number of miles is directly proportional to number of gallons:
So, we have:
![135\ miles = 5\ gallons](https://img.qammunity.org/2021/formulas/mathematics/college/itb022ydtfccml7iwimopw47mvhy2gzbpa.png)
and
![675\ miles = x](https://img.qammunity.org/2021/formulas/mathematics/college/2had29tcfetm6vpfpjtsq3tktmt01y3s3d.png)
Where x represents the number of gallons for 675 miles
Cross Multiply:
![135 * x = 675 * 5](https://img.qammunity.org/2021/formulas/mathematics/college/d8ff71ppbvqlzf34xpubclqruskwawdaxz.png)
![135x = 3375](https://img.qammunity.org/2021/formulas/mathematics/college/8qcvduolx2arizylqrcq3yqhnbcx5klkfj.png)
Make x the subject
![x = 3375/135](https://img.qammunity.org/2021/formulas/mathematics/college/ilev4v7uj84tvpn2nyc8qnophqqm6626tu.png)
![x = 25](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6wvbt2pd1bhxy7lz0q4xkzmzkspavrdjpj.png)
Hence, the car needs 25 gallons