Answer :
To determine which cars have equivalent ratios of miles traveled to hours of time, we need to calculate the miles per hour (mph) for each car. This can be done by dividing the miles traveled by the hours of time for each car. Let's perform these calculations step-by-step:
1. Dodge:
- Miles traveled: 48 miles
- Hours of time: 3 hours
- Ratio (miles per hour): [tex]\( \frac{48}{3} = 16 \)[/tex] mph
2. Chevrolet:
- Miles traveled: 27 miles
- Hours of time: 3 hours
- Ratio (miles per hour): [tex]\( \frac{27}{3} = 9 \)[/tex] mph
3. Flat:
- Miles traveled: 25 miles
- Hours of time: 2 hours
- Ratio (miles per hour): [tex]\( \frac{25}{2} = 12.5 \)[/tex] mph
4. Lexus:
- Miles traveled: 64 miles
- Hours of time: 4 hours
- Ratio (miles per hour): [tex]\( \frac{64}{4} = 16 \)[/tex] mph
Next, we compare these ratios to find cars with equivalent ratios. From the calculations above, we observe:
- Dodge has a ratio of 16 mph.
- Chevrolet has a ratio of 9 mph.
- Flat has a ratio of 12.5 mph.
- Lexus has a ratio of 16 mph.
Therefore, the cars that have equivalent ratios of miles traveled to hours of time are the Dodge and the Lexus, both of which have a ratio of 16 mph.
In conclusion, the types of cars that have equivalent ratios are the Dodge and the Lexus.
1. Dodge:
- Miles traveled: 48 miles
- Hours of time: 3 hours
- Ratio (miles per hour): [tex]\( \frac{48}{3} = 16 \)[/tex] mph
2. Chevrolet:
- Miles traveled: 27 miles
- Hours of time: 3 hours
- Ratio (miles per hour): [tex]\( \frac{27}{3} = 9 \)[/tex] mph
3. Flat:
- Miles traveled: 25 miles
- Hours of time: 2 hours
- Ratio (miles per hour): [tex]\( \frac{25}{2} = 12.5 \)[/tex] mph
4. Lexus:
- Miles traveled: 64 miles
- Hours of time: 4 hours
- Ratio (miles per hour): [tex]\( \frac{64}{4} = 16 \)[/tex] mph
Next, we compare these ratios to find cars with equivalent ratios. From the calculations above, we observe:
- Dodge has a ratio of 16 mph.
- Chevrolet has a ratio of 9 mph.
- Flat has a ratio of 12.5 mph.
- Lexus has a ratio of 16 mph.
Therefore, the cars that have equivalent ratios of miles traveled to hours of time are the Dodge and the Lexus, both of which have a ratio of 16 mph.
In conclusion, the types of cars that have equivalent ratios are the Dodge and the Lexus.