1 point Question 17: There were 900 students initially infected by the flu. After
medicine was distributed, the number of sick students was cut in half
every week. How many will still be sick after 4 weeks?

56 will be sick after 4 weeks.

Step-by-step explanation:

900 / 2 = 450 (Week 1)

450 / 2 = 225 (Week 2)

225 / 2 = 112.5 (Week 3)

112.5 / 2 = 56.25 (Week 4)

(Rounding to a whole number since there can't be a quarter of a child)

56.25 students would still be sick after 4 weeks

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: