Question

1. in list ( l_3 ) calculate the change in ( x )-values using deltalist( (l_1) ). find this operation by pressing 2nd stat for list, select ops, 7: ( delta \text{list} ). press 2nd 1 for ( l_1 ). in ( l_4 ) calculate the change in ( y )-values using deltalist( (l_2) ). in ( l_5 ) calculate the ratio ( l_4/l_3 ). what do you notice?
2. what are the units of the values in l5? (circle one)

a. dollars b. number of guests c. dollars per guest d. number of guests per dollar

Explanation:

Step1: Analyze the units of \(L_3\) and \(L_4\)

\(L_3\) represents the change in \(x -\)values. If \(x\) represents the number of guests (since \(L_1\) has values like \(5,10,20,25,50\) which are likely counts of guests), the units of \(L_3\) are "number of guests". \(L_4\) represents the change in \(y -\)values. If \(y\) represents cost (since \(L_2\) has values like \(260,370,590,700,1250\) which are likely costs in dollars), the units of \(L_4\) are "dollars".

Step2: Calculate the units of \(L_5=\frac{L_4}{L_3}\)

Using the formula for units of a quotient \(\text{Units of }L_5=\frac{\text{Units of }L_4}{\text{Units of }L_3}\). Substituting the units of \(L_4\) (dollars) and \(L_3\) (number of guests), we get \(\frac{\text{dollars}}{\text{number of guests}}\), which is "dollars per guest".

Answer:

C. dollars per guest