For the second company, express in a table the cost of the cab ride given the number of miles provided.
a. Write an equation in slope-intercept, point-slope, or standard form. Explain why you chose the form you did.
b. What does the slope mean in the context of the problem?
To express the cost of the cab ride given the number of miles provided for the second company, a table showing the relation between the miles and costs can be created.
a. To represent this relation in equation form, the slope-intercept form is commonly used: y = mx + b. This form is suitable for this problem because it allows us to directly identify the slope and y-intercept, which will help in finding the cost of the cab ride based on the number of miles traveled. The equation would be:
Cost = (Rate of cost per mile) * (Number of miles) + (Fixed cost)
b. In the context of this problem, the slope represents the rate of cost per mile. It indicates the additional cost that will be incurred for each additional mile traveled. This means that for every unit increase in the number of miles, the cost will increase by the slope value.