Area of figure is the total number of 1 square unit in the figure. For a rectangle, it is calculated from the product of its length and its width. For this case, we are given:
Width = x
Length = 7x
Area = x(7x) = 7x^2
The coefficient 7 would mean that the length is 7 times longer than the width, x.
Factors are numbers that when you multiply them you get another number or quantity
ex: 3 x 4 = 12
three and four are the factors because when multiplied they give you twelve, a new quantity.
Given:
The length of the candle remaining unburned, in inches, can be modeled by the equation
where, t represents the number of hours since the candle was lit.
To find:
The slope and its interpretation in the context of the problem.
Solution:
Slope intercept form of a linear function is
where, m is slope and b is y-intercept or initial value.
We have,
It can be written as
The coefficient of t is -1. So, using slope intercept form the slope of this equation is -1.
Here, -1 means length of the candle remaining unburned is decreasing at the rate of 1 inch per hour.
Answer:
When x goes to negative infinity, y goes to positive infinity; when x goes to positive infinity, y goes to positive infinity.
Step-by-step explanation:
The largest power of this function is 4, since the term is x^4. This means that the graph of the function will closely resemble a parabola.
Since the coefficient of x^4 is positive, that means that the parabola will resemble a smile.
The end behavior is when x goes to negative infinity, y goes to positive infinity; when x goes to positive infinity, y goes to positive infinity.
Hope this helps!
