Question

Stacy has 3 collector's cards. She receives 2 more cards each week that she vollunteers at the student center. Let x = the number of weeks. Let y = the number of collector's card's.

Answer 1

The question asks to define a linear equation that models the relationship between the weeks Stacy volunteers (x) and the collector's cards she has (y), represented by the equation y = 2x + 3.

Step-by-step explanation:

The question involves creating a linear equation that models the number of collector's cards Stacy has over time, given her initial amount and the rate at which she receives new cards each week. The relationship between the number of weeks (x) and the number of collector's cards (y) can be expressed as y = 2x + 3. Initially, Stacy has 3 cards and receives 2 more for each week she volunteers. This scenario presents a direct variation where the number of cards increases by a constant amount weekly.

Answer 2

The equation representing total number of collector's card Stacy has in 'x' week is
`y = 3+2x`.

Step-by-step explanation:

Given:

Number of cards she has = 3

Number of cards receive every week = 2

Let the number of week be 'x'.

Also Let the total number of collector's card be 'y'.

Now we know that;

The total number of collector's card will be equal to sum of Number of cards she has and Number of cards receive every week multiplied by number of weeks.

framing in equation form we get;

`y = 3+2x`

Since no more details given in question regarding what to find.

So we can conclude that.

The equation representing total number of collector's card Stacy has in 'x' week is
`y = 3+2x`.

If number of week given then kindly substitute the value with x and find total number of collectors cards from the above equation.