a. To represent the cost of the cab ride as a function of the number of miles, we can use the slope-intercept form of a linear equation. In this case, the given data suggests that the cost increases by $0.70 for every mile traveled. Therefore, we can write the equation in slope-intercept form as:
Cost = 0.70 * Number of Miles
b. In the context of the problem, the slope represents the increase in cost per mile traveled. In this case, the slope is $0.70, which means that for every additional mile, the cost of the cab ride increases by $0.70.
For the second company, express in a table the cost of the cab ride given the
number of miles provided.
Number
of Miles
0
1
2
3
4
5
Total
Cost
(dollars)
$0
$0.70
$1.40
$2.10
$2.80
$3.50
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?
3 answers
are you sure
Apologies for the confusion earlier, and thank you for pointing it out.
Given the table, we can see that for every additional mile, the cost of the cab fare increases by $0.70.
To write the equation in slope-intercept form, we need to determine the y-intercept (the cost when the number of miles is 0) and the slope (the rate at which the cost increases per mile).
From the table, we can see that when the number of miles is 0, the cost is $0. Therefore, the y-intercept is 0.
To determine the slope, we can observe that the cost increases by $0.70 for every mile traveled. Therefore, the slope is 0.70.
Putting these values into the slope-intercept form of a linear equation (y = mx + b), we have:
Cost = 0.70 * Number of Miles
Therefore, the equation representing the cost of the cab ride as a function of the number of miles is Cost = 0.70 * Number of Miles.
Please let me know if there is anything else I can help you with.
Given the table, we can see that for every additional mile, the cost of the cab fare increases by $0.70.
To write the equation in slope-intercept form, we need to determine the y-intercept (the cost when the number of miles is 0) and the slope (the rate at which the cost increases per mile).
From the table, we can see that when the number of miles is 0, the cost is $0. Therefore, the y-intercept is 0.
To determine the slope, we can observe that the cost increases by $0.70 for every mile traveled. Therefore, the slope is 0.70.
Putting these values into the slope-intercept form of a linear equation (y = mx + b), we have:
Cost = 0.70 * Number of Miles
Therefore, the equation representing the cost of the cab ride as a function of the number of miles is Cost = 0.70 * Number of Miles.
Please let me know if there is anything else I can help you with.
2 answers