Question

Use the image to answer the question. 2,30 and 4, 40
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 : 1

Answer 1

It looks like you are referring to a graph that likely shows the relationship between the total cost of renting a paddleboat (y) and the number of hours rented (x). Given the points provided, (2, 30) and (4, 40), we can infer values for the equation.

From the point (2, 30):
- When x (hours) is 2, y (total cost) is 30.

From the point (4, 40):
- When x (hours) is 4, y (total cost) is 40.

To find the equation of the line, we can first find the slope (m):
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{40 - 30}{4 - 2} = \frac{10}{2} = 5
\]

Now that we have the slope, we can use point-slope form to find the equation of the line. Using the point (2, 30):
\[
y - 30 = 5(x - 2)
\]
Simplifying this gives:
\[
y - 30 = 5x - 10 \\
y = 5x + 20
\]

Thus the equation in the form \(y = mx + b\) is:
\[
y = 5x + 20
\]

So to complete the equation for Luis renting the paddleboat:
\[
y = 5x + 20
\]

Hence, the completed equation is:
\[
y = 5x + 20
\]