Question

a person pays an $8 cover charge to hear a hip-hop band. let t be the total cost (in dollars) of the cover charge plus d dollars spent on drinks. complete parts (a) through (e). d. what is the t-intercept of the linear model? (0,8) (type an ordered pair.) what does the t-intercept mean in this situation? choose the correct answer. a. the total cost if the person does not spend any money on drinks. b. the amount of money the person spends on each drink. c. the amount of money the person spends on drinks. d. the total cost if the person does not pay the cover charge.

Explanation:

The T - intercept is the value of T when d (money spent on drinks) is 0. In the linear model for total cost \(T = 8 + d\) (where 8 is the cover charge and d is money on drinks), when \(d = 0\), \(T=8\), which corresponds to the total cost when no money is spent on drinks. Option A says "The total cost if the person does not spend any money on drinks", which matches. Option B is about cost per drink (slope, not intercept), Option C is about d (drink cost, not total cost at intercept), Option D is incorrect as the cover charge is paid, so when \(d = 0\), the cover charge is still paid.

Answer:

A. The total cost if the person does not spend any money on drinks