Question

Describe in words how the two quantities in each table are related.Table ATable BTable CTable D

Answer 1

0. Proportional Relationship: ,the number of laps is 400 times the number of meters

,

1. Inversely Relationship ,as the number of meters from home ,increases ,the number of meters from school ,decreases

,

2. The total expense in dollars is ,$400 more ,than the electricity bill.

,

3. Each worker deposits ,$400, from their monthly salary.

Table A)

Let's pick two points and see how they are related. Namely: (0,0) and (1,400).

Notice that since the initial point is at the origin (0,0) we can state that this is a proportional relationship.

As the number of laps increases, the number of meters increases.

Table B)

Note that as the meters from home increases the meters from school decrease, so we have an inversely proportional relationship.

`m=(325-400)/(75-0)=-1`

Table C)

For this one as the electricity bills increase its cost, the total expenses in dollars increase as well:

`\begin{gathered} m=(524-485)/(124-85)=1 \\ 485=1(85)+b \\ b=400 \end{gathered}`

Note that the slope is 1, and the linear coefficient is 400 each time that there is an increase in the electricity bill the total expenses increase by $400

(85, 485), (124,524)

Table D)

Let's pick two points to find the slope, and the function to find out the relationship between those quantities:

`\begin{gathered} m=(598-472)/(998-872)=1 \\ 472=1(872)+b \\ b=-400 \end{gathered}`

So we can say that each worker deposits $400 from his salary.

3) Hence, the answers are:

0. Proportional Relationship: ,the number of laps is 400 times the number of meters

,

1. Inversely Relationship ,as the number of meters from home ,increases ,the number of meters from school ,decreases

,

2. The total expense in dollars is ,$400 more ,than the electricity bill.

,

3. Each worker deposits ,$400, from their monthly salary.