Step-by-step explanation:
The first question can seem a little confusing. What you are looking for is the speed as this guy is moving. First you can see that the graph has a very steep slant upwards which means he is moving very fast. Then the graph slows its slant which means he is moving slower and finally it quickly decreases. To me, the best answer seems to be C since it is talking about how Tom was going very fast, he slows to chat with his friend and then he goes quickly back home. The other answers begin with Tom walking slowly away from home, and from the graph it can be seen in the slant that he left pretty quickly.
The second question you have to pay close attention to the wording. First we need to understand what they want us to do. They want us to build an equation that models how the company has been hiring employees. They tell us that n is the number of employees and z is the number of months. We start with this formula: a=mx+b. Except since they gave us new variables it looks like this: N=xZ+b. We need to find x and b. Luckily, the question gives us b! They tell us that the company started with TWO employees. This means that no matter how many they gain, there will be at LEAST two there. So, our equation becomes: n= xz + 2. Now we can substitute in the example month they gave us and solve for x.
7=x6+2
(subtract 2 from both sides)
(7-2)=(x6+2-2)
5=x6
(divide both sides by 6 to get x alone)
5/6=x6/6
(6/6 cancels out since it equals 1)
5/6=x (yay!)
SO, our equation becomes 7=5/6*6+2. We then sub in our variables again and we end with: n=5/6z+2
Answer:
1. C
2. n=5/6z+2
