The graph shows the total fare, y, for a taxi ride with respect to the miles traveled, x. Use the graph to complete each statement.

Drag and drop the answers into the boxes.

y-intercept = 3

The y-intercept represents the initial fee before any miles are traveled.

Step-by-step explanation:

By definition, the y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The coordinates of the y-intercept is (0, b ).

Looking at your graph, it shows that the line crosses the y-axis at (0, 3). Therefore, the y-intercept = 3.

The y-intercept represents the initial fee before any miles are traveled. This means that the taxi ride already has a set amount of $3, regardless of the number of miles traveled. This is added to the total cost of the taxi fare, which is represented by y.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.