Comparing Ratios in a Table

To find the ratio of miles driven to gallons used for both Car A and Car D, we will first determine their ratios as fractions and then convert them to have a common denominator of 8.

Car A:

• Miles driven: 224
• Gallons used: 8

The ratio of miles driven to gallons used for Car A is: [ \frac{224}{8} ]

Car D:

• Miles driven: 92
• Gallons used: 4

The ratio of miles driven to gallons used for Car D is: [ \frac{92}{4} ]

Simplifying the Ratios:

For Car A: [ \frac{224}{8} = 28 ]

For Car D: [ \frac{92}{4} = 23 ]

Writing the Ratios with a Common Denominator of 8:

Car A's ratio in terms of gallons: [ \frac{224}{8} = \frac{28 \times 8}{8} = \frac{224}{8} ] So, for Car A, this is: [ \frac{28}{8} ]

Car D's ratio in terms of gallons: [ \frac{92}{4} = \frac{23 \times 2}{4} = \frac{46}{8} ] So, for Car D, this is: [ \frac{46}{8} ]

Final Result:

• The ratio of miles to gallons for Car A is (\frac{28}{8}).
• The ratio of miles to gallons for Car D is (\frac{46}{8}).

Comparison:

The ratio for Car A is: [ \frac{28 \text{ miles}}{8 \text{ gallons}} ] and the ratio for Car D is: [ \frac{46 \text{ miles}}{8 \text{ gallons}} ]

Now, comparing the two ratios: [ \frac{28}{8} \text{ is less than } \frac{46}{8} ] Thus, the ratio for Car A is less than the ratio for Car D.

In summary:

• The ratio of miles to gallons for Car A is (\frac{28}{8}).
• The ratio of miles to gallons for Car D is (\frac{46}{8}).
• The ratio for Car A is less than the ratio for Car D.