Respuesta :
Answer:
The given situation is in direct variation.
The dependent variable is the distance covered and the independent variable is the number of hours.
Step-by-step explanation:
We are given the following information in the question:
Steve drove 300 miles in 5 hours.
After stopping for gas, he drove an additional 120 miles in 2 hours.
We calculate the ratios and if these ratios are equal then, we can say that the situation represent a direct variation.
For direct variation, the equation is of the form y = kx that is , we can write,
[tex]\displaystyle\frac{y}{x} = k[/tex]
To check the ratio:
[tex]\displaystyle\frac{300}{5} = \frac{300+120}{5+2} =\frac{420}{7} = 60[/tex]
Thus, the given situation is in direct variation.
The dependent variable is the distance covered and the independent variable is the number of hours.
