Edlyn makes Special Vegan Cakes to sell at the local street market for fundraising. As Edlyn produces a greater number of Special Vegan Cakes she can lower the price per unit. The function k()=2x -100 relates the price k to the number produced x. The cost c of making x Special Vegan Cakes can be represented with the function c(x) = -10x + 500.
How many Special Vegan Cakes should Teresa sell each week to maximize her profit P?

What is the R(x) or revenue?
What is the P(x) or profit?
How many cupcakes should Teresa sell each week to maximize the profit?
Is there a profit? Explain your reasoning.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour

b). 4320 have a nice day

step-by-step explanation:

is their an equation anywhere i can take a   look at it and see if i am right.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9