Two local food shelves are doing a food drive to replenish the pantry in the the month of March. The Eagan food shelf has 1000 items and gets an additional 180 items a day. The Apple Valley food shelf has 1450 items and gets an additional 150 items a day. How long
will the Eagan food shelf have fewer items than the Apple Valley food shelf?
Eagan will always have fewer items than Apple Valley.
Eagan will have fewer items for up to the 15th day.
Eagan will have fewer items at day 15.
Eagan will have fewer items after the 15th day.
Eagan will have fewer items for at least 15 days.
Eagan will have fewer items for at most 15 days.
Eagan will never have fewer items than Apple Valley.
None of these answers are correct.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

okay, what do you want us to do?

step-by-step explanation: