Question

Select the correct answer. Each morning, Matthew travels 30 miles to get to work. The time it takes him to get to work varies inversely as the speed at which he drives. Which equation best models the amount of time it takes him to get to work, T, if he drives at a speed of (s) miles per hour?

a) (T = frac30/s)
b) (T = 30s)
c) (T = frac1/30s)
d) (T = 30 + s)

Answer 1

The equation that best models the amount of time it takes Matthew to get to work is T = 30/s (option a).

Step-by-step explanation:

The equation that best models the amount of time it takes Matthew to get to work is T = 30/s (option a).

Since the time it takes him to get to work varies inversely as the speed at which he drives, we use the formula T = k/s, where k is a constant. Given that Matthew travels 30 miles to get to work, the equation becomes T = 30/s.

For example, if Matthew drives at a speed of 60 mph, the equation would yield T = 30/60 = 0.5 hours or 30 minutes.