Question

Amanda went into the grocery business starting with five stores. After one year, she opened two more stores. After two years, she opened two more stores than the previous year. If Amanda expands her grocery business following the same pattern, which of the following graphs represents the number of stores she will own over time?

Answer 1

Answer: The answer would be y = 2x, with x being the number of stores she added the year before.

Explanation:

Answer 2

Explanation:

We have been given that Amanda went into the grocery business starting with five stores. This means that initial value or y-intercept is 5.

We are also told that after one year, she opened two more stores. After two years, she opened two more stores than the previous year. This means that rate of change or slope is 2.

So the line representing the number of stores Amanda will own over time would be
`y=2x+5`.

Upon graphing our given equation we will get our required graph as shown in the attachment.