Question

If your first first oil changes 5000 miles and then every three hundred three thousand miles after if you drive your car 250 miles a week how many oil changes will you need the first year

Answer 1

4 oil changes

Explanation:

Given that:

Distance after first oil change = 5000 miles

Subsequent oil changes = 3300 miles

If distance in miles moved per week = 250 m

Number of weeks per year = 52

Total miles moved per year = (250 * 52) = 13000 miles

Let Number of oil change per year = n

Difference between successive oil change = d = 3300 miles

Using the relation :

Total miles = Ist change + (n - 1)d

13000 = 5000 + (n - 1)3300

13000 = 5000 + 3300n - 3300

13000 = 1700 + 3300n

13000 - 1700 = 3300n

11300 = 3300n

n = 3.424

Hence, number of oil. Changes in first year = 4