Question

The automaker of your new car recommended an oil change following the 5,000 miles and then every 3,000 miles thereafter.if you plan to drive the car 250 miles a week, how many oil changes will you need the first year?

Answer 1

3 oil changes

Explanation:

1. Find an equation that represents this word problem: 3000x + 5000 = y

Where y = the # of miles total. y = 250 miles/week * 52 weeks/year = 13000 miles.

2. Solve for x: 3000x + 5000 = 13000 3000x=8000

3. x = 8/3 integer round down x = 2 oil changes, but plus the one after 5000 miles is a total of 3 oil changes that year