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?
Accepted Solution
A:
Answer:Equation of a line that models y is:y=40-15xStep-by-step explanation:Dudley wants to cover 40 miles. If he travels 30 miles every 2 hoursin 2 hours he covers 30 milesi.e. 1 hour he covers 15 milesMiles he is left with after 1 hour=40-15Miles he is left with after 2 hours=40-15-15=40-15×2Miles he is left with after x hours of biking=40-15xIf y represents the number of miles he has left to travel, after biking x hoursthen, y=40-15xHence, equation of a line that models y is:y=40-15x