Vinh pays a convenience fee when he reserves movie ticket son his cell phone app. The app shows him the total cost of his purchase for different number of tickets in the table shown.
Tickets | Total cost
2 $32.00
3 $44.50
6 $82.00
What is the equation that models this linear function? Show your work. Don’t forget to define your variables!
Use the phrase is a function of to describe the situation Tickets 2 3 6 Total Cost $32.00 $44.50 $82.00 represented by the equation you wrote in problem 3a.
How much is each movie ticket?
Let's define the variables as follows:
x = number of tickets
y = total cost
Now we can see that the total cost is a function of the number of tickets, so we can write the equation as:
y = mx + b
where m is the slope of the line and b is the y-intercept.
Using the given data points, we can find the slope:
m = (y2 - y1) / (x2 - x1) = (44.50 - 32.00) / (3 - 2) = 12.50 / 1 = 12.50
Next, we can substitute one of the data points (2, $32.00) into the equation to find the y-intercept (b):
32.00 = 12.50 * 2 + b
32.00 = 25.00 + b
b = 32.00 - 25.00
b = 7.00
So the equation that models this linear function is:
y = 12.50x + 7.00
Therefore, the total cost of the movie tickets is a function of the number of tickets, and the equation to represent it is y = 12.50x + 7.00.
To find out how much each movie ticket is, we can look at the equation and see that the coefficient of x (12.50) represents the cost of each ticket. Therefore, each movie ticket costs $12.50.
you forgot the answer the one the question "Use the phrase is a function of to describe the situation Tickets 2 3 6 Total Cost $32.00 $44.50 $82.00 represented by the equation you wrote in problem 3a."
I apologize for the oversight. To describe the situation using the phrase "is a function of," we can say that the total cost (y) is a function of the number of tickets (x) represented by the equation y = 12.50x + 7.00.
So then whats the answer for the first question?
The equation that models this linear function is:
Total cost = 12.50 * Tickets + 7.00
Therefore, the equation that represents this situation is "Total cost is a function of the number of tickets."
no this first question What is the equation that models this linear function? Show your work
Apologies for the confusion. Let's find the equation that models this linear function using the given data.
We have the data points (2, $32.00), (3, $44.50), and (6, $82.00).
To find the equation, we can use the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) using the two given points (2, $32.00) and (3, $44.50):
m = (44.50 - 32.00) / (3 - 2)
m = 12.50
Next, we can substitute the slope (m) and one of the points (2, $32.00) into the equation to find the y-intercept (b):
$32.00 = 12.50(2) + b
$32.00 = $25.00 + b
b = $7.00
Now we can write the equation:
Total cost = 12.50 * Tickets + 7.00
Thus, the equation that models this linear function is:
Total cost = 12.50 * Tickets + 7.00
your getting confused with the 2nd question i mean to first What is the equation that models this linear function? Show your work
I apologize for the confusion. Let's find the equation that models this linear function using the given data.
We have the data points (2, $32.00), (3, $44.50), and (6, $82.00).
To find the equation, we can use the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Let's first find the slope (m) using the two given points (2, $32.00) and (3, $44.50):
m = (44.50 - 32.00) / (3 - 2)
m = 12.50
Next, we can choose one of the data points (2, $32.00) to substitute into the equation to find the y-intercept (b):
$32.00 = 12.50 * 2 + b
$32.00 = 25.00 + b
b = $7.00
Now we can write the equation:
Total cost = 12.50 * Tickets + $7.00
Thus, the equation that models this linear function is:
Total cost = 12.50 * Tickets + $7.00