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? % (type an integer or a decimal.)

Explanation:

Step1: Calculate for 10% higher

We find 10% of 30% first. 10% of 30% is $0.1\times0.3 = 0.03$. Then we add this to the percentage in City A. So the percentage in City B is $0.3+0.03=0.33$ or 33%.

Step2: Calculate for 10 percentage - points higher

We simply add 10 percentage - points to 30%. So the percentage in City B is $30 + 10=40$.

The first statement "10% higher" means we find 10% of the percentage in City A and add it to the percentage in City A. The second statement "10 percentage - points higher" means we just add 10 to the percentage value of City A.

Answer:

When 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 in City B who ride the bus to work is 33%. When the percentage of city employees who ride the bus to work is 10 percentage - points higher in City B than in City A, the percentage of city employees in City B who ride the bus to work is 40%.