Use the image to answer the question. A coordinate plane of quadrant 1 is titled Mountain Bike Rental. The x-axis labeled Hours Rented ranges from 0 to 5 in increments of 1. The y-axis labeled Total Paid ranges from 20 to 30 in increments of 2. Six points plotted in the plane have the following coordinates: left parenthesis 0 comma 20 right parenthesis, left parenthesis 1 comma 22 right parenthesis, left parenthesis 2 comma 24 right parenthesis, left parenthesis 3 comma 26 right parenthesis, left parenthesis 4 comma 28 right parenthesis, and left parenthesis 5 comma 30 right parenthesis. What is the y -intercept indicated by the data?
The y-intercept is the point where the graph of the function intersects the y-axis. In this case, the y-intercept is where the function intersects the y-axis when x = 0.
Looking at the data given, the point with x = 0 has a y-coordinate of 20. Therefore, the y-intercept indicated by the data is 20.
Use the image to answer the question. A coordinate plane of quadrant 1 is titled Total Amount Paid versus Hours Worked. The x-axis labeled Hours Worked ranges from 2 to 6 in increments of 1. The y-axis labeled Total Paid ranges from 0 to 125 in increments of 25. Five points plotted on the plane have the following coordinates: left parenthesis 2 comma 25 right parenthesis, left parenthesis 3 comma 50 right parenthesis, left parenthesis 4 comma 75 right parenthesis, left parenthesis 5 comma 100 right parenthesis, and left parenthesis 6 comma 125 right parenthesis. What is the slope of the data?
To find the slope of the data, we need to calculate the change in y (Δy) divided by the change in x (Δx) when moving between two points.
Let's choose two points to calculate the slope. We'll choose the points (2, 25) and (3, 50).
Δy = 50 - 25 = 25
Δx = 3 - 2 = 1
Now, we can calculate the slope using the formula:
Slope = Δy / Δx
Slope = 25 / 1
Slope = 25
Therefore, the slope of the data is 25.