A car can travel 300 miles on 12 gallons of gas. At this rate, how many miles can the car travel on 1 gallon of gas? 12 miles

12 miles

25 miles

25 miles

120 miles

120 miles

312 miles

312 miles

25 miles?

Step-by-step explanation:

Step-by-step explanation:

The image attached shows the triangle that models this problem.

Observe that .

The tangent function is defined as:

In this case, we have

But, we don't knot the length of both legs, so we need to find them using other trigonomtric reasons.

Then,

Now we know the length of both legs, we can find the tangent of angle Y

Therefore, the value of tan(Y) is