Deion divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. He put 1/8 of a liter into each bottle. How
1 answer:
Answer:
4 bottles
Step-by-step explanation:
Given
Required
Determine the number of bottles
Represent the number of bottles with N
<em>This implies that N bottles of </em><em> fit into </em>
<em> of fertilizer. The relationship between them is:</em>
<em></em>
Multiply through by 8
<em>Hence, there are N = 4</em>
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Step 1) Draw a dashed line through the points (0,6) and (4,7). These two points are on the line y = (1/4)x+6. To find those points, you plug in x = 0 to get y = 6. Similarly, plug in x = 4 to get y = 7. The dashed line indicates that none of the points on this line are part of the solution set.
Step 2) Draw a dashed line through (0,-1) and (1,1). These two points are on the line y = 2x-1. They are found in a similar fashion as done in step 1.
Step 3) Shade the region that is above both dashed lines. We shade above because of the "greater than" sign. This is shown in the attached image I am providing below. The red shaded region represents all of the possible points that are the solution set. Once again, any point on the dashed line is not in the solution set.
Step 2) Draw a dashed line through (0,-1) and (1,1). These two points are on the line y = 2x-1. They are found in a similar fashion as done in step 1.
Step 3) Shade the region that is above both dashed lines. We shade above because of the "greater than" sign. This is shown in the attached image I am providing below. The red shaded region represents all of the possible points that are the solution set. Once again, any point on the dashed line is not in the solution set.