Question

The distance that Joseph travels varies directly to how long he drives. He travels 325 miles in 5 hours. Write the equation that relates the distance, d, to the time, t. How many miles can Joseph travel in 8 hours?

Answer 1

Answer: 520 miles

Step-by-step explanation: 325/5 = 65 In 5 hours

3 hours = 65 + 65 + 65 = 195

195+325=520 miles

Answer 2

d=65t Joseph travels 520 miles

Explanation:

We are given that the distance, d, Joseph drives varies directly to the time, t. This means

d=k⋅t

for some constant, k. Since he travels 325 miles in 5 hours, we substitute these values into the formula for direct variation to find

325=k⋅5

Dividing by 5 gives k=65, so an equation that relates d and t is

d=65t

Substituting t=8 seconds yields

65(8)=520

so Joseph can travel 520 miles in 8 hours.