A recycling center began tracking the number of tires donated each day. At the end of the first day of their new tracking system, they counted 6 tires. At the end of the second day, 10 tires had been donated. At the end of the third day, 14 tires were collected. If you wrote an arithmetic sequence and a linear function that represented this scenario, what would be the difference between the initial value of the arithmetic sequence and the y-intercept of the linear function?(1 point) Responses The initial value of the arithmetic sequence and the y-intercept of the linear function are both 2 because that's the number of tires they had at the center before they started tracking their donations. The initial value of the arithmetic sequence and the y-intercept of the linear function are both 2 because that's the number of tires they had at the center before they started tracking their donations. The initial value of the arithmetic sequence is 6 because it represents the number of tires collected on day 1. The y-intercept of the linear function is 2 because that's the number of tires they had at the center before they started tracking their donations. The initial value of the arithmetic sequence is 6 because it represents the number of tires collected on day 1. The y-intercept of the linear function is 2 because that's the number of tires they had at the center before they started tracking their donations. The initial value of the arithmetic sequence is 2 because that's the number of tires they had at the center before they started tracking their donations. The y-intercept of the linear function is 6 because it represents the number of tires collected on day 1. The initial value of the arithmetic sequence is 2 because that's the number of tires they had at the center before they started tracking their donations. The y-intercept of the linear function is 6 because it represents the number of tires collected on day 1. The initial value of the arithmetic sequence and the y-intercept of the linear function are both 6 because it represents the number of tires collected on day 1. The initial value of the arithmetic sequence and the y-intercept of the linear function are both 6 because it represents the number of tires collected on day 1.

Question

A recycling center began tracking the number of tires donated each day. At the end of the first day of their new tracking system, they counted 6 tires. At the end of the second day, 10 tires had been donated. At the end of the third day, 14 tires were collected. If you wrote an arithmetic sequence and a linear function that represented this scenario, what would be the difference between the initial value of the arithmetic sequence and the y-intercept of the linear function?(1 point) Responses The initial value of the arithmetic sequence and the y-intercept of the linear function are both 2 because that's the number of tires they had at the center before they started tracking their donations. The initial value of the arithmetic sequence and the y-intercept of the linear function are both 2 because that's the number of tires they had at the center before they started tracking their donations. The initial value of the arithmetic sequence is 6 because it represents the number of tires collected on day 1. The y-intercept of the linear function is 2 because that's the number of tires they had at the center before they started tracking their donations. The initial value of the arithmetic sequence is 6 because it represents the number of tires collected on day 1. The y-intercept of the linear function is 2 because that's the number of tires they had at the center before they started tracking their donations. The initial value of the arithmetic sequence is 2 because that's the number of tires they had at the center before they started tracking their donations. The y-intercept of the linear function is 6 because it represents the number of tires collected on day 1. The initial value of the arithmetic sequence is 2 because that's the number of tires they had at the center before they started tracking their donations. The y-intercept of the linear function is 6 because it represents the number of tires collected on day 1. The initial value of the arithmetic sequence and the y-intercept of the linear function are both 6 because it represents the number of tires collected on day 1. The initial value of the arithmetic sequence and the y-intercept of the linear function are both 6 because it represents the number of tires collected on day 1.

Answer 1

The initial value of the arithmetic sequence is 6 because it represents the number of tires collected on day 1. The y-intercept of the linear function is 2 because that's the number of tires they had at the center before they started tracking their donations.

Answer 2

The correct response is: The initial value of the arithmetic sequence is 6 because it represents the number of tires collected on day 1. The y-intercept of the linear function is 2 because that's the number of tires they had at the center before they started tracking their donations.

Answer 3

The initial value of the arithmetic sequence represents the number of tires collected on day 1, which is 6 tires. So the correct option would be: "The initial value of the arithmetic sequence is 6 because it represents the number of tires collected on day 1."

The y-intercept of the linear function represents the starting point or value before anything else is taken into account. In this scenario, the y-intercept would represent the number of tires they had at the center before they started tracking their donations. From the given information, we can infer that they had 2 tires at the center before they started tracking the donations. So the correct option would be: "The y-intercept of the linear function is 2 because that's the number of tires they had at the center before they started tracking their donations."

Therefore, the difference between the initial value of the arithmetic sequence (6) and the y-intercept of the linear function (2) is 4.