Question

A vehicle traveled 202 miles and used 11 gallons of gasoline. Which is closest to the number of miles the vehicle can be expected to travel with a full tank of 16 gallons under the same driving conditions?

Answer 1

Answer: 294 miles

Work Shown

`\frac{\text{202 miles}}{\text{11 gallons}} = \frac{\text{x miles}}{\text{16 gallons}}\\\\(202)/(11) = \frac{\text{x}}{16}\\\\\text{x} = (202*16)/(11)\\\\\text{x} \approx 293.818\\\\\text{x} \approx 294\\\\`

Answer 2

The vehicle can be expected to travel closest to 293.82 miles with a full tank of 16 gallons under the same driving conditions.

Step-by-step explanation:

In order to find the number of miles the vehicle can be expected to travel with a full tank of 16 gallons under the same driving conditions, we can set up a proportion using the information given. We know that the vehicle traveled 202 miles using 11 gallons of gasoline. So, we can set up the proportion: 202 miles / 11 gallons = x miles / 16 gallons.

To solve the proportion, we can cross multiply and solve for x. Cross multiplying gives us: 202 * 16 = 11 * x. Simplifying, we get: 3232 = 11x. Dividing both sides by 11, we find that x is approximately 293.82.

Therefore, the vehicle can be expected to travel closest to 293.82 miles with a full tank of 16 gallons under the same driving conditions.