Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

3) In order to attend plays at the Ford Theater, Mr. Vajda pays a fee tobecome a member. In addition, he pays a set rate per play that he attends.After seeing 3 plays he has paid a total of $154.50, and after seeing 6 plays hehas paid a total of $300.50. Write a linear equation that gives the total cost, c,a member such as Mr. Vajda pays to see p plays?

Sagot :

Givens.

• He paid $154.50 for 3 plays.

,

• He paid $300.50 for 6 plays.

First, form coordinate pairs: (3, 154.50) and (6, 300.50).

Second, find the slope between the points.

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1}=\frac{300.5-154.5}{6-3} \\ m=\frac{146}{3} \end{gathered}[/tex]

The slope is 146/3.

Then, we use the point-slope formula to find the equation.

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-154.5=\frac{146}{3}(x-3) \\ y-154.5=\frac{146}{3}x-146 \\ y=\frac{146}{3}x-146+154.5 \\ y=\frac{146}{3}x+8.5 \end{gathered}[/tex]

Therefore, the equation is

[tex]y=\frac{146}{3}x+8.5[/tex]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.