After 10 days Mr. Monasterio had eaten 43 burritos. After 15 days, he had eaten 78 burritos. What is the rate of change? Label your answer with units.

7 burritos/day

Step-by-step explanation:

Given data

Initial day =10

Final day =15

Initial burritos consumed=43

Final burritos consumed =78

Let the constant k = rate of change

change in days = 15 - 10 = 5

change in number of burritos = 78-43=35

k = 78-43/15-10

k = 35/5

k = 7

Since k = change in number of burritos/change in days

7 burritos/day

answer: it's d

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