Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
It's a percent decrease and it decreases by -50%
Since t=0 represents the year 1980.
So, t=1 represents 1981 , t=2 represents 1982, t=3 represents 1983 and so on.
At t=2 that is in 1982, sales were 2.3 billion and at t=8 that is 1988, sales were 41 billion.
So, we have the coordinates (2, 2.3) and (8, 41)
The slope will give us the rate of change in sales over the years.
Therefore, Slope =
=6.45 billion per year.
Since, the rate of change is 6.45 billions per year and it is a linear variation therefore, the rate of change in sales 1980 is 6.45 billions per year.