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?
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.
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.
To create a table showing the cost of the cab ride for the second company based on the number of miles provided, we can use the given information:
Number of Miles: 0, 1, 2, 3, 4, 5
Total Cost (dollars): $0, $0.70, $1.40, $2.10, $2.80, $3.50
We can set up a table with two columns, one for the number of miles and another for the total cost:
| Number of Miles | Total Cost (dollars) |
|-----------------|---------------------|
| 0 | $0 |
| 1 | $0.70 |
| 2 | $1.40 |
| 3 | $2.10 |
| 4 | $2.80 |
| 5 | $3.50 |
a. To write an equation in slope-intercept, point-slope, or standard form, we need to examine the pattern in the data. In this case, as the number of miles increases by 1, the total cost increases by $0.70. This suggests a linear relationship between the number of miles and the total cost.
Considering a linear equation in slope-intercept form (y = mx + b), where y is the dependent variable (total cost), x is the independent variable (number of miles), m is the slope, and b is the y-intercept, we can find the slope and y-intercept from the given data.
Slope (m) = (change in y) / (change in x) = (0.70 - 0) / (1 - 0) = 0.70
Y-intercept (b) = 0 dollars (from the data when x = 0)
Therefore, the equation in slope-intercept form for this problem would be:
y = 0.70x + 0
b. In the context of this problem, the slope (0.70) represents the cost per mile. It indicates that for every additional mile traveled, the cost of the cab ride increases by $0.70.