Given the table for x, tickets sold and y, money earned:
x - tickets 4 9 8 5 7
y - $ earned 48 108 96 60 84
(4 points)
a. Every ticket sold is _ dollars earned.
b. Dollars/1 ticket is called a _ .
c. This relationship is _, because 0 tickets sold is _ dollars earned.
a. Every ticket sold is 12 dollars earned.
b. Dollars/1 ticket is called a ticket price.
c. This relationship is linear, because 0 tickets sold is 0 dollars earned.
The word bank:
variable, constant, unit rate, proportional, non proportional, 0, 1, 5, 12, 60
a. Every ticket sold is a constant amount earned. (12 dollars in this case)
b. Dollars/1 ticket is called a unit rate.
c. This relationship is proportional, because the ratio of tickets sold to dollars earned remains the same. (For every ticket sold, the amount earned is constant)
Note: 0, 1, 5, 12, and 60 are not applicable to the questions given.
Given the table for x, time in minutes and y, distance traveled:
x - time 4 3 10 7 9
y - distance 76 57 190 133 171
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. Every minute Response area meters are traveled.
b. Write an equation to show the relationship between x and y. Response area
c. This relationship is Response area because the y-intercept is
a. To calculate the dollars earned per ticket sold, we need to find the ratio between the money earned (y) and the number of tickets sold (x).
For the given data:
Number of tickets sold (x): 4, 9, 8, 5, 7
Money earned (y): 48, 108, 96, 60, 84
To find the dollars earned per ticket sold, we divide the money earned by the number of tickets sold:
For the first set of data:
Dollars earned (y) = 48
Number of tickets sold (x) = 4
Dollars earned per ticket sold = y/x = 48/4 = 12
Similarly, we can calculate the dollars earned per ticket sold for the rest of the data points.
For the second set of data:
Dollars earned (y) = 108
Number of tickets sold (x) = 9
Dollars earned per ticket sold = y/x = 108/9 = 12
For the third set of data:
Dollars earned (y) = 96
Number of tickets sold (x) = 8
Dollars earned per ticket sold = y/x = 96/8 = 12
For the fourth set of data:
Dollars earned (y) = 60
Number of tickets sold (x) = 5
Dollars earned per ticket sold = y/x = 60/5 = 12
For the fifth set of data:
Dollars earned (y) = 84
Number of tickets sold (x) = 7
Dollars earned per ticket sold = y/x = 84/7 = 12
So, every ticket sold is 12 dollars earned (a).
b. Dollars per 1 ticket is called the "unit rate" or "unit price." In this case, the unit rate is 12 dollars per ticket (b).
c. This relationship is a "proportional relationship" because for any number of tickets sold, the money earned is always a multiple of the number of tickets sold. In other words, the ratio between tickets sold and money earned remains constant. When 0 tickets are sold, the amount of money earned is also 0 dollars (c).
To find the answers to the questions, let's observe the table:
x - tickets: 4 9 8 5 7
y - $ earned: 48 108 96 60 84
a. Every ticket sold is _ dollars earned.
To find the answer, we need to calculate the dollars earned per ticket. We can do this by dividing the dollars earned by the number of tickets sold.
For the first row: 48 dollars earned / 4 tickets sold = 12 dollars earned per ticket.
For the second row: 108 dollars earned / 9 tickets sold = 12 dollars earned per ticket.
For the third row: 96 dollars earned / 8 tickets sold = 12 dollars earned per ticket.
For the fourth row: 60 dollars earned / 5 tickets sold = 12 dollars earned per ticket.
For the fifth row: 84 dollars earned / 7 tickets sold = 12 dollars earned per ticket.
So, every ticket sold is 12 dollars earned.
b. Dollars/1 ticket is called a _.
The unit for dollars per ticket is dollars/ticket. In this case, every ticket sold is worth 12 dollars, so it is called "12 dollars per ticket."
c. This relationship is _, because 0 tickets sold is _ dollars earned.
To determine the relationship between the number of tickets sold and the dollars earned, we can examine what happens when there are 0 tickets sold.
In the given table, there is no entry for 0 tickets sold. However, we can assume that 0 tickets sold would result in 0 dollars earned because no tickets were sold. Therefore, the relationship between the number of tickets sold and the dollars earned can be described as "linear" or "proportional."
So, the relationship is linear, and 0 tickets sold corresponds to 0 dollars earned.