Romi opened a gift shop in 1995 and closed it in 2000. In 1995, her inventory of stuffed animals was 350. In 2000 her inventory of stuffed animals was 0. Let x represent the number of years since 1995. Write an equation, in slope-intercept form, that represents that data

Question

Mathematics

Abril Maddox

1 September, 02:50

Romi opened a gift shop in 1995 and closed it in 2000. In 1995, her inventory of stuffed animals was 350. In 2000 her inventory of stuffed animals was 0. Let x represent the number of years since 1995. Write an equation, in slope-intercept form, that represents that data

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Answers (1)

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Rodolfo Kline · Answer 1

y=-70x+350

Step-by-step explanation:

Since x is the number of years since 1995, this means that at 1995, x=0. This also means that in 2000, x=5. The values of the stuffed animals were 350 in 1995 and 0 in 2000. The formula for slope is rise over run, so we can find the answer using this mathematical expression: y2-y1/x2-x1. Plugging in our values, we get 0-350/5-0 which simplifies into - 350/5. This further simplifies into - 70. Our slope is - 70. The definition of y-intercept is the value of y when x=0. We know that x=0 at 1995 and the value for the stuffed animals was 350 at that time. This tells us that the y-intercept is 350. Slope-intercept form is y=mx+b, so plugging in our information, we get y=-70x+350.