Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

What expression best represents the distance the bike rolled based on the chalk marks made?

1. 3(27π)

2. 4π(27)

3. (27 ÷ 3)π

4. (27 ÷ 4)π

The correct answer is: 3(27π)

To determine which expression represents the distance the bike rolled, it's essential to analyze the components involved in calculating distance based on the chalk marks made by the bike. The distance rolled by a circular object, like a bike tire, can be calculated using the formula for the circumference of a circle, which is \( C = 2\pi r \), where \( r \) is the radius. If we consider that the bike made a number of rotations or had certain markings that correlate with its circumference, the total distance can be expressed as the number of rotations multiplied by the circumference. In this scenario, if we assume the bike rolled where each rotation corresponds to one full circumference, then we need to represent the total distance rolled through some multiples of the bike tire's radius (if given). The expression provided in choice A, \( 3(27\pi) \), suggests that the bike rolled 3 full circumferences of a circular section with \( 27\pi \) indicating some constant related to the circumference itself, possibly including the number of wheel rotations. Thus, the expression indicates that the bike rolled a total distance that is three times the value associated with \( 27\pi \), reinforcing the idea that the bike’s distance traveled can be