Question

Vic and Eva buy used cars at the same time. Vic buys a car with 10,000 miles on it. He drives an average of 100 miles per week. What equation represents the number of miles, m, will be on Vic's car after any number of weeks of driving, w.

A. m = 10,000w + 100


B. m = 100w + 10,000


C. 100m = 10,000w


D. 10,000m = 100w

Using your answer choice from question #1, in how many weeks will Vic's car have 12,000 miles on it?

A. 20 weeks


B. 30 weeks


C. 40 weeks


D. 50 weeks

Answer 1

Answer: 1) B. m = 100 w + 10,000

2) 20 weeks

Explanation:

1) Here w represents the number of weeks Vic's car is driven.

Since, In one week he drives = 100 miles,

Therefore, In w weeks he drives = 100 w,

Also, the car has already driven 1000 miles.

Thus, the total distance covered by him in w week = 100 w + 10,000

⇒ Option B is correct.

2) Let in w weeks car is driven 12,000 miles,

Therefore, 100 w + 10,000 = 12,000

100 w = 2000

w = 20 weeks,

He will drive 12000 miles in 20 weeks.

⇒ Option A is correct.