Question

this graph shows how the number of pears lacey has left is related to the number of gift baskets she assembles.
pears remaining
if lacey assembles 2 gift baskets, how many pears will she have left?
30 pears 50 pears 40 pears 60 pears

Explanation:

Step1: Identify the x - value

We are interested in the case when the number of gift baskets assembled (\(x\) - value) is 2.

Step2: Find the corresponding y - value

On the graph, the x - axis represents the number of gift baskets assembled and the y - axis represents the number of pears remaining. We look for the point on the line where \(x = 2\) (gift baskets assembled) and then find the corresponding \(y\) - value (pears remaining). From the graph, when \(x=2\), the \(y\) - value (pears remaining) is 60? Wait, no, wait. Wait, let's re - check. Wait, the line starts at (0,70) and goes to (10,20). Wait, let's find the equation of the line. The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{20 - 70}{10 - 0}=\frac{- 50}{10}=- 5\). So the equation is \(y=mx + b\), with \(b = 70\) (when \(x = 0\), \(y = 70\)), so \(y=-5x + 70\). When \(x = 2\), \(y=-5\times2+70=-10 + 70 = 60\)? Wait, but looking at the graph, when \(x = 2\), the point is at \(y = 60\)? Wait, the options have 60 pears as one of the options. Wait, maybe I misread the graph earlier. Let's check the graph again. The x - axis: 0,1,2,3,... The y - axis: 70 at x = 0, then at x = 1, it's 65? Wait, no, the grid lines: each vertical line is 1 unit (gift baskets), each horizontal line is 10 units? Wait, no, the y - axis is labeled 10,20,30,40,50,60,70,80,90,100. So from (0,70), when x = 1, it's 65? No, the line is a straight line. Wait, the first point is (0,70), then when x = 2, let's see the graph. The user's graph: the line goes from (0,70) to (10,20). So when x = 2, y=70-5*2 = 60. So the number of pears left when 2 gift baskets are assembled is 60.

Answer:

60 pears