Question

1. describe in words how the two quantities in each table are related.

· table a

number of laps, x	0	1	2.5	6	9

· table b

meters from home, x	0	75	128	319	396

· table c

electricity bills in dollars, x	85	124	309	816

Explanation:

Step1: Analyze Table A

The number of laps \(x\) and meters run \(y\) are related by \(y = 400x\). For example, when \(x = 1\), \(y=400\times1 = 400\); when \(x = 2.5\), \(y = 400\times2.5=1000\). So the meters run is 400 times the number of laps.

Step2: Analyze Table B

The sum of meters from home \(x\) and meters from school \(y\) is always 400. That is \(x + y=400\). For example, when \(x = 75\), \(y=400 - 75=325\).

Step3: Analyze Table C

The total expenses \(y\) is the sum of electricity bills \(x\) and 400. That is \(y=x + 400\). For example, when \(x = 85\), \(y=85 + 400=485\).

Answer:

• Table A: The number of meters run is 400 times the number of laps.
• Table B: The sum of the meters from home and the meters from school is 400.
• Table C: The total expenses is the electricity - bill plus 400.