Question

Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, 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

Answer:

$y=40-15x$

Step-by-step 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:

$\frac{30}{2}=15$.

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:

$y=40-15x$, where, y represents number of miles he has left to travel, after biking x hours.

Answer 2

The equation of a line that models y, the number of miles he has left to travel, after biking x hours is 40 - 30*2 = y