Final answer:
The correct equation representing the relationship between the number of cars Jason washes (n) and his total earnings (t) is C. t = n × 10. Each car washed adds $10 to his earnings.
Step-by-step explanation:
To find the equation that represents the relationship between the number of cars Jason washes (n) and his total earnings (t), we should recognize that for each car washed, there is a set payment amount. In this case, Jason earns $10 for each car he washes. Therefore, the total amount earned is directly proportional to the number of cars washed. This relationship is a simple linear equation where each car contributes an additional $10 to the total earnings.
The correct equation is represented by the formula: t = 10 × n. This equation means that for every car Jason washes (n), his total earnings (t) increase by $10.
Answer Choices:
- A. n = t + 10
- B. t = 100
- C. t = n × 10 - Correct Answer
- D. n = 100
To eliminate the incorrect answers, we can observe the following:
- Choice A implies that the number of cars is dependent on earnings plus 10, which is not the case as the number of cars determines the earnings.
- Choice B suggests that Jason's total earnings are always $100, regardless of the number of cars washed, which does not match the pay-per-car scenario.
- Choice D implies that the number of cars washed is always 100, which is not related to his earnings at all.
Therefore, the correct answer is choice C, which clearly states that total earnings (t) are equal to $10 multiplied by the number of cars washed (n).