Question

1. (2 points) the number of am radio stations in the united states decreased from 4978 in 1990 to 4560 in 2020. find both the absolute change and the relative change (as a percentage). write your answers in complete sentences.

Explanation:

Step1: Calculate absolute change

Subtract new value from old value.
$4560 - 4978 = -418$

Step2: Calculate relative change

Divide absolute change by old value, convert to percentage.
$\frac{-418}{4978} \times 100\% \approx -8.40\%$

Answer:

The absolute change in the number of AM radio stations is -418, meaning there was a decrease of 418 stations. The relative change is approximately -8.40%, meaning the number of AM radio stations decreased by about 8.40% from 1990 to 2020.