1. Output of function when input is 10: Approximately $20
2. Input to function when output is 5: Approximately 15 rides
3. Meaning of x-intercept: The number of rides you can take before your fare card is empty (18 rides in this case)
The graph shows that the amount of money remaining on a subway fare card decreases linearly as the number of rides taken increases. The y-axis represents the amount of money on the card in dollars, and the x-axis represents the number of rides taken.
1. To find the output of the function when the input is 10, we follow the x-axis until we reach the value 10. Then, we draw a vertical line up to the graph.
The point of intersection between the vertical line and the graph is the output of the function, which is approximately $20.
This means that when you have taken 10 rides, there will be approximately $20 remaining on your fare card.
2. To find the input to the function when the output is 5, we follow the y-axis until we reach the value 5. Then, we draw a horizontal line to the right until it intersects the graph.
The point of intersection between the horizontal line and the graph is the input to the function, which is approximately 15.
This means that when you have $5 remaining on your fare card, you will have taken approximately 15 rides.
3. The point on the graph where the y-axis crosses the x-axis is the point where the amount of money on the fare card is zero.
This point is called the x-intercept. The x-intercept of the graph in the image is approximately 18.
This means that if you have taken 18 or more rides, you will have no money left on your fare card.