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). see a pattern.

d	t
3	8 + 3 (do not simplify.)
4	8 + 4 (do not simplify.)
5	8 + 5 (do not simplify.)
d	8 + d (do not simplify.)

what is the equation describing the relationship between d and t?
t = 8 + d
b. perform a unit analysis of the equation found in the previous step.
the units of the expressions on both sides of the equation are

Explanation:

Step1: Analyze the left - hand side (T)

The variable \(T\) represents the total cost in dollars. So the unit of \(T\) is dollars.

Step2: Analyze the right - hand side (\(8 + d\))

The value \(8\) is the cover charge in dollars, and \(d\) is the amount spent on drinks in dollars. When we add two quantities with the unit of dollars, the result also has the unit of dollars. For example, if \(d = 2\) (dollars), \(8+2\) is in dollars; if \(d = 3\) (dollars), \(8 + 3\) is in dollars, and so on. So the unit of \(8 + d\) is also dollars.

Answer:

dollars (or \(\$ \), since both \(T\) (total cost) and \(8 + d\) (sum of cover charge and drink cost, both in dollars) have the unit of dollars)