Question

assume that 30% of city employees in city a ride the bus to work. consider the following two statements: the percentage of city employees who ride the bus to work is 10% higher in city b than in city a. the percentage of city employees who ride the bus to work is 10 percentage points higher in city b than in city a. for each case, state the percentage of city employees in city b who ride the bus to work. briefly explain why the two statements have different meanings. when the percentage of city employees who ride the bus to work is 10% higher in city b than in city a, what percentage of city employees in city b ride the bus to work? 33% (type an integer or a decimal.) when the percentage of city employees who ride the bus to work is 10 percentage points higher in city b than in city a, what percentage of city employees in city b ride the bus to work? 40% (type an integer or a decimal.) percentage points describe change or difference, and percent (or %) describes change or difference

Explanation:

Step1: Calculate for 10% higher

We find 10% of 30% first. $0.1\times30\% = 3\%$. Then we add this to the percentage in City A. So, $30\%+3\%=33\%$.

Step2: Calculate for 10 percentage - points higher

A percentage - point is a simple numerical difference. So we just add 10 percentage - points to 30%. $30\% + 10\%=40\%$.

Step3: Explain the difference

Percentage points describe an absolute change or difference. For example, going from 30% to 40% is a 10 - percentage - point increase. Percent (or %) describes a relative change or difference. When we say 10% higher than 30%, we are taking 10% of 30% and adding it to 30%, which is a relative calculation based on the original value.

Answer:

When the percentage of city employees who ride the bus to work is 10% higher in City B than in City A, 33% of city employees in City B ride the bus to work.
When the percentage of city employees who ride the bus to work is 10 percentage points higher in City B than in City A, 40% of city employees in City B ride the bus to work.
Percentage points describe absolute change or difference, and percent (or %) describes relative change or difference.