Anna and jason have summer jobs stuffing envelopes for two different companies. anna earns $14 for every 400 envelops she finishes. jason earns $9 for every 300 envelopes he finishes.
suppose jason had savings pf $100 from the beginning summer. how many envelopes domjason and anna need to stuff for thier savings to be equal. what are thier savings?

Q1:  20,000 envelopes

Q2: Savings = $700

Step-by-step explanation:

Let the number of envelopes stuffed by each be "x"

We can create 2 equations, each for Anna and Jason, equate them and find our answer.

For Anna:

$14 for 400, so

14/400 = $0.035 PER ENVELOPE

Savings for Anna is  0.035x

For Jason:

Already has 100 (fixed)

Gets $9 for 300 envelopes, so

9/300 = $0.03 PER ENVELOPE

Savings for Jason is  100 + 0.03x

We equate and solve for x:

So, For both their savings to be equal, they need to stuff 20,000 envelopes

Their savings would be:

0.035x

or 100 + 0.03x

We can plug in x = 20,000 in any one equation, the answer would be same.

So,

0.035(20,000) = $700

savings = $700

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:

i believe the answer is c.