Micah can fill a box with books in 15 minutes. while micah fills the box, sydney takes the books out puts them on a shelf. with sydney taking books out of the box, it takes 20 minutes for micah to fill the box.

which of the following can be used to determine the amount of time it takes for sydney to empty the box if micah is not adding books?

a. 1 over 15 minus 1 over 20 equals 1 over x
b. 1 over 20 minus 1 over x equals 1 over 15
c. 1 over 15 minus 1 over x equals 1 over 20
d. 1 over 15 minus 1 over x equals x over 20

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.