Given the following question:
First expression:
Second expression:
The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3
When you say initial value I'm assuming you mean the y-intercept
In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula
y - 8 = -3(x - 0)
y = -3x + 8
The y-intercept is when x = 0 so,
y = -3(0) + 8
Therefore y = 8
The answer would be approximately 56.52 inches squared.
You are suppose to find the lateral surface area, since the label only go around the can, excluding the top and bottom.
To find the lateral surface area, you'd need to find the circumference of the circle, and then multiply that by the height.
Since C = πd, 3.14..*3 ≈ 9.42. And 9.42*6 = 56.52. Conclusively, the approximate amount of paper needed to make the can's label would be about 56.52 inches squared.
