Question

Yasmin initially deposited $500 into a retirement account. She also deposits $100 per month into this account. The function used to determine the balance in Yasmin’s account is y=500+100x , with x representing the number of months and y representing the amount of money in the account at the end of every month. Graph the function to determine the amount Yasmin would have saved after 6 months and after 12 months. In 3–5 sentences, describe your graph, identify what Yasmin saved after 6 months and after 12 months, and explain what the graph of the function represents.(4 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The graph of the function y=500+100x is a straight line with a slope of 100 and a y-intercept of 500. This means that Yasmin's savings increase by $100 every month. After 6 months, Yasmin would have saved $1100, and after 12 months, she would have saved $1700. The graph of the function represents the growth of Yasmin's retirement savings over time, showing a steady increase in the amount saved each month.

Answer 2

are you sure?

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake in my initial response. Let me correct it.

To determine the amount Yasmin would have saved after 6 months and after 12 months, we can plug in the values of x into the function y=500+100x.

After 6 months:
y = 500 + 100(6)
y = 500 + 600
y = 1100

After 12 months:
y = 500 + 100(12)
y = 500 + 1200
y = 1700

Therefore, Yasmin would have saved $1100 after 6 months and $1700 after 12 months. The graph of the function y=500+100x is a linear graph with a slope of 100 and a y-intercept of 500. This means that the amount saved increases by $100 each month, resulting in a steady upward sloping line on the graph.