There were 18 seeds planted in the garden. After one week there were 324 seedlings. After 2 weeks there were 648 seedlings. If the number of seedlings grows at the same rate each week, how many seedlings will there be after 5 weeks?

The answer is 1620 seedlings.

Step-by-step explanation:

The rate is that every one week, there is an increase of 324 seedlings. If it continued for 5 weeks, the total amount of seedlings will be 1620 seedlings. The equations I used to solve this are 648-324=324. 324x5=1620.

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:

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.