Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Which equation models the total profit,y,based on the number of tickets sold,x?

Which Equation Models The Total Profitybased On The Number Of Tickets Soldx class=

Sagot :

Answer

D. y - 300 = 4(x - 100)

Step-by-step explanation

Variables

• x: tickets sold

,

• y: profit

Equation of a line in point-slope form

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is a point on the line.

The slope of the line that passes through the points (x₁, y₁) and (x₂, y₂) is calculated as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

This line passes through the points (100, 300), that is, when 100 tickets are sold, the club had $300 in profit, and the point (200, 700). Then, its slope is:

[tex]\begin{gathered} m=\frac{700-300}{200-100} \\ m=\frac{400}{100} \\ m=4 \end{gathered}[/tex]

Substituting into the general equation with m = 4 and the point (100, 300), we get the next equation of the line:

[tex]y-300=4(x-100)[/tex]