Question

Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 ours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours?

Answer 1

y=40-15x

Explanation:

Let x represent the number of hours.

We have been given that Dudley travels 30 miles every 2 hours, so distance covered in each hour by Dudley would be:

.

Since Dudley travels 15 km per hour, so distance covered in x hours would be 15x.

We have been given that Dudley wants to cover 40 miles. So we can represent our given information in an equation as:

, where, y represents number of miles he has left to travel, after biking x hours.