To determine which data display represents a car that gets more miles per gallon (mpg) than Mr. Miller's car, we first need to understand Mr. Miller's car's performance.
Mr. Miller's car can travel 45 miles for each gallon of gas. This information is represented by the equation:
[tex]\[ y = 45x \][/tex]
where:
- [tex]\( y \)[/tex] represents the number of miles traveled,
- [tex]\( x \)[/tex] represents the number of gallons of gas used.
We want to find a car that gets more miles per gallon than Mr. Miller's car. This means we need a car that has an mpg rating greater than 45.
Given this, the critical requirement is:
- The car must have an mpg (miles per gallon) greater than 45.
So, any data display (e.g., graph, table, or equation) that shows a car traveling more than 45 miles using one gallon of gas will represent a car that gets more miles per gallon than Mr. Miller's car.
For instance:
1. If another car travels 46 miles using one gallon of gas, it has an mpg of 46, which is greater than 45.
2. If another car is shown to travel 92 miles using 2 gallons of gas, it has an mpg of 46 (since 92 miles / 2 gallons = 46 mpg).
Thus, a data display that shows any mpg value greater than 45 (such as 46 mpg or higher) will represent a car that gets more miles per gallon than Mr. Miller's car.
