Question

For every 212 miles Jane travelled, Trent travelled 65 miles last year. Which of the following equations represents the relationship between Jane's vacation miles (j) and Trent's vacation miles (t) last year?

A) j = 65/212 * t
B) t = 65/212 * j
C) j = 212/65 * t
D) t = 212/65 * j

Answer 1

The equation that represents the relationship between Jane's vacation miles (j) and Trent's vacation miles (t) last year is t = (65/212) * j. For every 212 miles Jane travelled, Trent travelled 65 miles.

Step-by-step explanation:

The equation that represents the relationship between Jane's vacation miles (j) and Trent's vacation miles (t) last year is t = (65/212) * j.

To understand why this equation represents the relationship, let's break it down. For every 212 miles Jane travelled, Trent travelled 65 miles. This means that the ratio of Trent's miles to Jane's miles is constant, and that ratio is 65/212. Using this ratio, we can calculate Trent's vacation miles (t) by multiplying it with Jane's vacation miles (j).

For example, if Jane travelled 424 miles on vacation, we can substitute that value into the equation: t = (65/212) * 424 = 130.566 miles. So, Trent travelled approximately 130.566 miles on vacation last year.