Question

The graph of the line represents the cost of renting a jet ski. A graph of a diagonal line on a coordinate plane with time in hours on the x axis and cost in dollars on the y axis. The line begins at the point zero comma 25 and passes through the points 1 comma 50 and 2 comma 75. Write a linear function in the form y = mx + b to represent the situation. y = x +

Answer 1

The jet ski rental cost is y = 25x + 25. This means it costs $25 per hour to rent, with an additional $25 starting fee.

The equation you provided, y = x + _, is missing the y-intercept value (b). To determine the complete equation, we need to analyze the given information about the jet ski rental cost:

Slope: The line starts at (0, 25) and passes through (1, 50) and (2, 75). This indicates a constant increase in cost with each hour, meaning the slope (m) is positive. We can calculate it using the formula:

m = (Change in y) / (Change in x)

m = (50 - 25) / (1 - 0) = 25

Y-intercept: Now that we know the slope (m) is 25, we can find the y-intercept (b) using any of the given points. Let's use (0, 25):

y = mx + b

25 = (25)(0) + b

25 = b

Therefore, the complete equation for the jet ski rental cost is:

y = 25x + 25

This equation accurately represents the situation, where the cost increases by 25 dollars for each hour of rental, with a starting fee of 25 dollars.