Question

a familys vacation expenditure is summarized using a pie chart below: entertainment 0% lodging 35% food and beverages 16% transportation 45% (a) what type of variable is vacation expense type (lodging, food, etc.)? select an answer (b) what percentage of the vacation cost was spent on food and beverages and entertainment combined? answer: % (c) if the familys total vacation expenditure was $3,400, what was their expense on transportation? answer = $ (d) if the family spent $1,710 on transportation, then what was the family’s total vacation expenditure? answer = $

Explanation:

(a)

Vacation expense type (like Lodging, Food) is a categorical variable as it represents distinct categories or groups without numerical order in terms of magnitude (unlike continuous or discrete numerical variables). It's a qualitative variable used to classify the expense.

Step1: Identify percentages

From the pie chart, Food and Beverages is 16% and Entertainment is 4% (assuming the 0% is a typo and Entertainment is 4% as per the label).

Step2: Add the percentages

To find the combined percentage, add the two percentages: \(16\% + 4\% = 20\%\)

Step1: Identify transportation percentage

Transportation is 45% of the total expenditure.

Step2: Calculate transportation expense

Total expenditure is $3,400. So, transportation expense = \(45\% \times 3400\)
Convert 45% to decimal: \(0.45\)
Then, \(0.45\times3400 = 1530\)

Answer:

Categorical (or Qualitative) Variable

(b)