this question has two parts. use the information to answer part a and part b.\na music service has two…

this question has two parts. use the information to answer part a and part b.\na music service has two plans. the platinum plan allows for multiple devices, and the gold plan allows for one device.\n• last year, the platinum plan had 480,000 members, and the gold plan had 600,000 members.\n• this year, membership in the platinum plan decreased by 30%, and membership in the gold plan increased by 18%.\n\npart a\nto the nearest whole percentage, what was the overall percent change in membership? enter the answer in the box.\n\n %\n\npart b\nwas the overall change a percent decrease or a percent increase?\n\na. percent decrease\n\nb. percent increase

this question has two parts. use the information to answer part a and part b.\na music service has two plans. the platinum plan allows for multiple devices, and the gold plan allows for one device.\n• last year, the platinum plan had 480,000 members, and the gold plan had 600,000 members.\n• this year, membership in the platinum plan decreased by 30%, and membership in the gold plan increased by 18%.\n\npart a\nto the nearest whole percentage, what was the overall percent change in membership? enter the answer in the box.\n\n %\n\npart b\nwas the overall change a percent decrease or a percent increase?\n\na. percent decrease\n\nb. percent increase

Answer

Explanation:

Step1: Calculate this - year platinum members

The number of platinum - plan members last year was $480000$. A $30%$ decrease means the number of members this year is $480000\times(1 - 0.3)=480000\times0.7 = 336000$.

Step2: Calculate this - year gold members

The number of gold - plan members last year was $600000$. An $18%$ increase means the number of members this year is $600000\times(1 + 0.18)=600000\times1.18 = 708000$.

Step3: Calculate total members last year and this year

Last year's total members: $480000 + 600000=1080000$. This year's total members: $336000+708000 = 1044000$.

Step4: Calculate the percent change

The formula for percent change is $\frac{\text{New Value}-\text{Old Value}}{\text{Old Value}}\times100%$. So, $\frac{1044000 - 1080000}{1080000}\times100%=\frac{- 36000}{1080000}\times100%\approx - 3%$.

Answer:

Part A: $-3$ Part B: A. percent decrease