The Graph Attached Below Is Provided By a Ride Sharing Service In Your The graph attached below is provided by a ride-sharing service in your area showing the cost, in dollars, of a ride by the mile. Assessment instructions show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor. Part 1: Calculate the base fee (in dollars) charged by the ride-share service. Part 2: Calculate the rate of increase in cost in dollars per mile. Part 3: Identify the slope and y-intercept of the equation in the graph. Part 4: Write the slope-intercept equation of the line in the graph. Part 5: Use your equation from part 4 to extrapolate the cost of a 30-mile ride.
Paper For Above instruction The analysis of the ride-sharing service's cost structure, as depicted by the provided graph, involves interpreting key linear characteristics such as the y-intercept and slope, which reflect the base fee and the cost per mile, respectively. Understanding these elements allows us to formulate an equation representing the total fare and to make predictions for longer rides. Part 1: Calculating the Base Fee The base fee, or fixed starting charge for a ride, is represented in the graph by the y-intercept—the point where the line crosses the y-axis when the number of miles traveled is zero. To determine this, we examine the graph and identify the y-value at the mile count of zero. Typically, this is directly read from the graph's y-intercept point. For example, if the graph indicates that at 0 miles, the cost is approximately $3.50, then the base fee is $3.50. Part 2: Calculating the Rate of Increase per Mile The rate of increase in cost per mile corresponds to the slope of the line in the graph. The slope is calculated as the change in cost divided by the change in miles between two known points on the line. Suppose the graph shows that at 10 miles, the cost is approximately $8.50, and at 0 miles, the cost is $3.50; then, the slope (m) is computed as: \[ m = \frac{\text{change in cost}}{\text{change in miles}} = \frac{8.50 - 3.50}{10 - 0} =