In 1980, there were 67 new productions on Broadway. In 1987, there were 31 new productions on Broadway. Find the average rate of

Question

elixir [45]

4 years ago

12

In 1980, there were 67 new productions on Broadway. In 1987, there were 31 new productions on Broadway. Find the average rate of

change in the number of new productions. Give the result in new productions per year
i need help asap

Mathematics

2 answers:

AlladinOne [14] · Answer 1 · 2021-12-13T00:09:32+03:00

AlladinOne [14]4 years ago

6 0

In 1980, there were 67 new productions on Broadway. In 1987, there were 31 new productions on Broadway. Find the average rate of change in the number of new productions.

dedylja [7] · Answer 2 · 2021-12-13T02:04:49+03:00

Answer: About -5 new production per year.

Step-by-step explanation:

Given : In 1980, there were 67 new productions on Broadway.

In 1987, there were 31 new productions on Broadway.

Now, the average rate of change in the number of new productions is given by :-

$\text{Average rate of change}=\dfrac{\text{Production in 1987-Production in 1980}}{1978-1980}$

i.e.

$\text{Average rate of change}=\dfrac{31-67}{7}\\\\=\dfrac{-36}{7}=-5.142857142\approx-5$

Hence, the average rate of change in the number of new productions is about -5 new production per year.