Last weekend, Emma sold lemonode at a yard sale. The function p(c) = .50c -9.96 represented the profit, p(c), Emma earned selling c cups of lemonade. Sales were strong, so she raised the price for this weekend by 25 cents per cup. Which function represents her profit for this weekend?

P(c) = 0.75c - 9.96

Step-by-step explanation:

In the function p(c), the value that multiplies the variable c (number of cups of lemonade sold) is the increase in the profit for each increase in the number of cups sold, that is, it is the price of each cup of lemonade.

Initially the price of a cup of lemonade is 0.5, and then she increased the price by 25 cents, that is, by 0.25, so the new price is 0.75 (75 cents).

Then, the new function for her profit would be:

P(c) = 0.75c - 9.96

answer: the answer is 23

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1