Elise is selling coupon cards as a fundraising project for her soccer team. for each coupon card she sells, she earns $4 for the team. the graph below displays the relationship between cards sold, x, and money earned, y. which of the following describes the relationship between cards sold and money earned? a. the situation represents direct variation. the equation that represents the situation is . b. the situation represents inverse variation. the equation that represents the situation is . c. the situation represents direct variation. the equation that represents the situation is . d. the situation represents inverse variation. the equation that represents the situation is .

Solution:

Amount earned by Elise on each coupon card she sells = $ 4

As the graph is not given

But the, relationship between cards sold, x, and money earned, y is ,Direct relationship:As number of cards sold will increases , the amount of money earned increases.

So, the equation representing the relationship between cards sold, x, and money earned, y is → y(Money Earned)= 4 x(Cards Sold).

Option A :The situation represents direct variation.

The equation that represents the situation is : y= 4 x.

Graph is shown below.

  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.

the answer will be