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 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 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 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.
To find the difference between the initial value of the arithmetic sequence and the y-intercept of the linear function, we need to understand how each value is determined.
In an arithmetic sequence, the initial value represents the first term of the sequence. In this scenario, the initial value is 6 because it represents the number of tires collected on day 1. So the initial value of the arithmetic sequence is 6.
On the other hand, in a linear function, the y-intercept represents the value of the function when the input variable (in this case, the number of days) is equal to zero. Since the linear function represents the number of tires donated each day, the y-intercept represents the number of tires collected on day 0, which is before they started tracking the donations.
According to the options provided, the y-intercept is given as 2, which represents the number of tires they had at the center before they started tracking their donations.
Therefore, the correct answer 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.