You have to multiply the number of people times the number of cookies they are each supposed to get
So, 28 x 3 = 84 cookies
The point-slope form of the equation of the line is:
(y - y1) = m (x - x1)
So, (y + 2) = - 1/3 (x - 4) in the point-slope form is:
[y - (-2) ] = (-1/3) [ x - 4 ]
You must, then realize that the line passes through the point (4,-2) and its slope is - 1 /3.
That slope, -1 / 3, means that the function is decresing (because the slope is negative), and it decreases one unit when x increases 3 units.
Now you can fill in the blanks in this way:
Plot the point (4, -2), move 1 unit down, and 3 units over to find the next point on the line.
A) The total installment price is ($28/mo)*(24 mo) = $672.00
b) The carrying charges are $672.00 -500.00 = $172.00
c) The number of months of saving required is 500/28 ≈ 18.
Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:
Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is
y - 5 = 9 (x - 1)
y = 9x - 4
