Question

Camila is collecting button pins. Camila started her collection with 20 button pins and collects 5 button pins per month. Let y represent the total number of button pins Camila has collected and x represent the number of months Camila collects button pins.

Graph this linear relationship.

Select two points to graph the line.

Answer 1

Step-by-step explanation:

Camilla started her collection with 20 buttons, meaning that this number is a constant, and that it will not change: (+20)

She then collects 5 buttons per month. Month is represented by the variable, x (given by the question), and there are 5 per month (so you multiply).

Set the equation:

Total pins = Amount of pins per month x amount of months + Amount of pins started.

y = 5x + 20

In this case, plug in the amount of months (x) to obtain your total (y):

When x = 0, y = 20

y = 5(0) + 20

y = 0 + 20

y = 20

When x = 1 , y = 25

y = 5(1) + 20

y = 5 + 20

y = 25

When x = 2, y = 30

y = 5(2) + 20

y = 10 + 20

y = 30

When x = 3, y = 35

y = 5(3) + 20

y = 15 + 20

y = 35

When x = 4, y = 40

y = 5(4) + 20

y = 20 + 20

y = 40

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Note: This is a linear graph, so you can choose any of these given points (and more if you want to plot more). I would choose two that aren't too close to each other, unless you want a really small graph size.