Representing Functions Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
5 of 55 of 5 Items

Question
Use the image to answer the question.

A line graph with x-axis ranging from 0 to 6 in unit increment and y-axis ranging from 0 to 60 in increments of 10.

Luis rents a paddleboat to use at West Park for the day. He has to pay a deposit and an hourly fee. Using information from the graph, enter the values that complete the equation for this situation.

(1 point)
y=
x+
Remaining Attempts : 3

Answer 1

To complete the equation \( y = mx + b \), we need to identify the slope (m) and the y-intercept (b) from the graph of Luis's paddleboat rental.

1. Identify the y-intercept (b): This is the value of y when x is 0. Look at the point where the graph intersects the y-axis.

2. Identify the slope (m): To find the slope, choose two points on the line and use the formula: \[ m = \frac{(y_2 - y_1)}{(x_2 - x_1)} \]

3. Write the equation: Substitute the values into the equation format \( y = mx + b \).

Without the image, I can't provide specific numbers. However, if the graph indicates that the deposit (y-intercept) is, say, $10 (b = 10), and the hourly fee (slope) is $15 per hour (m = 15), then:

The equation would be: \[ y = 15x + 10 \]

Please replace the values with the correct ones from the graph you have. If you provide those specific details, I can help you better!