Question
To raise money, a school band is selling tickets to a breakfast. The graph on the coordinate grid below shows the functional relationship between the number of tickets sold and the revenue.
A graph is shown. On the y intercept there is the numbers 100, 200, 300 ,400 ,500. in between these numbers are three lines and you count by 25 so for each number it would be the first digit in that number then the number 25, 50, 75 and then the next number, for example: 100, 125, 150, 175, then 200. on the axis there is the numbers 0 ( the origin ) , 50 and 100 there are lines in between these numbers as well and I'm sure you can fill in the blanks. On the graph there is a line with a positive slope beginning at the origin 0. Then ending at the point (75,400).
What is the domain of the function?
A. integers from 0 to 400
B. real numbers from 0 to 500
C. integers from 0 to 80
D. real numbers from 0 to 100
A graph is shown. On the y intercept there is the numbers 100, 200, 300 ,400 ,500. in between these numbers are three lines and you count by 25 so for each number it would be the first digit in that number then the number 25, 50, 75 and then the next number, for example: 100, 125, 150, 175, then 200. on the axis there is the numbers 0 ( the origin ) , 50 and 100 there are lines in between these numbers as well and I'm sure you can fill in the blanks. On the graph there is a line with a positive slope beginning at the origin 0. Then ending at the point (75,400).
What is the domain of the function?
A. integers from 0 to 400
B. real numbers from 0 to 500
C. integers from 0 to 80
D. real numbers from 0 to 100
Answers
GPT-4o mini
To determine the domain of the function represented by the graph, we need to consider the context of the situation: the graph shows the relationship between the number of tickets sold (the horizontal axis) and the revenue generated (the vertical axis).
From the description you provided, the x-values (the number of tickets sold) start at the origin (0) and go up to the point (75, 400). This means that the number of tickets sold can range from 0 to 75 tickets. Thus, the possible values for the number of tickets sold (the domain) are the integers from 0 to 75.
However, since the question is asking for the domain, we should note whether we are considering only integers or real numbers. Since ticket sales generally involve whole tickets, we are most likely looking at integers.
Given the options:
A. integers from 0 to 400
B. real numbers from 0 to 500
C. integers from 0 to 80
D. real numbers from 0 to 100
None of the options perfectly match, but the closest option given the context is C: integers from 0 to 80, since it includes up to 75 and mentions integers. However, the precise domain we derived would be "integers from 0 to 75". So with the available choices, C is the most reasonable answer.
From the description you provided, the x-values (the number of tickets sold) start at the origin (0) and go up to the point (75, 400). This means that the number of tickets sold can range from 0 to 75 tickets. Thus, the possible values for the number of tickets sold (the domain) are the integers from 0 to 75.
However, since the question is asking for the domain, we should note whether we are considering only integers or real numbers. Since ticket sales generally involve whole tickets, we are most likely looking at integers.
Given the options:
A. integers from 0 to 400
B. real numbers from 0 to 500
C. integers from 0 to 80
D. real numbers from 0 to 100
None of the options perfectly match, but the closest option given the context is C: integers from 0 to 80, since it includes up to 75 and mentions integers. However, the precise domain we derived would be "integers from 0 to 75". So with the available choices, C is the most reasonable answer.