Question

Kaleb earns $5 per car he washes and plans to spend $8 to go to the movies this weekend. He needs to save at least $62 to pay for a band trip. Which inequality represents the number of cars Kaleb needs to wash to save for the band trip?

a) (5x - 8 geq 62)
b) (5x + 8 geq 62)
c) (5x geq 62 - 8)
d) (5x leq 62 + 8)

Answer 1

The correct inequality to determine the minimum number of cars Kaleb needs to wash to have enough savings for the band trip after going to the movies is (5x - 8 >= 62), where x is the number of cars.

Step-by-step explanation:

The question asks which inequality represents the number of cars Kaleb needs to wash to save for the band trip, factoring in his earnings per car wash and his plans to spend money on a movie. To represent this situation with an inequality, we must consider his earnings from washing cars ($5 per car) and the cost of the movie ticket ($8). Kaleb needs to save at least $62 for the band trip. After spending $8 on the movies, he will need to save $62 + $8 to reach his goal.

The correct inequality that represents this scenario is (5x - 8 >= 62), where x is the number of cars Kaleb needs to wash. This inequality ensures that after paying for the movie, he will have at least $62 saved. Here is the step-by-step explanation:

1. Kaleb earns $5 for every car he washes.
2. He will spend $8 on a movie this weekend.
3. He needs at least $62 after the movie to pay for his band trip.
4. We represent his total savings with 5x (the amount he earns from x cars).
5. The inequality is therefore 5x - 8 >= 62.

Once solved, the inequality will tell us the minimum number of cars he needs to wash to reach his savings goal.