Answer:
a. $800
b. $80/ additional chair sold
Explanation:
Since we are given the function of R in terms of x, let's start by defining the variables used:
Let the revenue be R and the number of chairs sold be x.
a. Let's find the revenue when 300 chairs were sold.
When x= 300,
R(300)
= 1300(300) -2(300)²
= $210000
Now, find the revenue when 310 chairs were sold.
When x= 310,
R(310)
= 1300(310)-2(310)²
= $210800
Change refers to the difference, thus the symbol of operation used would be a minus sign.
Change in revenue
= 210800 -210000
= $800
__________
b. In this question, the change we are looking at is the effect of the increase in number of chairs sold on the revenue.
Average rate of change
= 800 ÷10
= 80
This means that on average, the revenue increases by $80 for every increase in the number of chairs sold.