Question

Each table below shows the time and distance Samantha and her friends traveled on four different road trips. In which Table is there a linear relationship between time and distance?

Include explanation

Answer 1

Answer:

C

Step-by-step explanation:

C 160/2 = 80

240/3 = 80

400 / 5 = 80

480 / 6 = 80

C is linear

Answer 2

In table C, there is a linear relationship between time and distance

The correct answer is Table C

A linear relation is a relationship between distance (d) and time (t) when a distance changes over time at a constant rate.

From table A

At t = 2 hour, d = 120 miles

$\frac{Distance}{Time} =\frac{120}{2}=60 miles/hour$

At t = 4 hour, d = 220 mile

$\frac{Distance}{Time} =\frac{220}{4}=55 miles/hour$

The relationship between distance and time is not linear.

From table B

At t = 1 hour, d = 70 miles

$\frac{Distance}{Time} =\frac{70}{1}=70 miles/hour$

At t = 2 hour, d = 150 miles

$\frac{Distance}{Time} =\frac{150}{2}=75 miles/hour$

The relationship between distance and time is not linear.

From table C

At t = 2 hour, d = 160 miles

$\frac{Distance}{Time} =\frac{160}{2}=80 miles/hour$

At t = 3 hour, d = 240 miles

$\frac{Distance}{Time} =\frac{240}{3}=80 miles/hour$

At t = 5 hour, d = 400 miles

$\frac{Distance}{Time} =\frac{400}{5}=80 miles/hour$

The relationship between distance and time is linear.

From table D

At t = 1 hour, d = 75 miles

$\frac{Distance}{Time} =\frac{75}{1}=75 miles/hour$

At t = 2 hour, d = 150 miles

$\frac{Distance}{Time} =\frac{150}{2}=75 miles/hour$

The relationship between distance and time is not linear.

Therefore, In Table C, there is a linear relationship between time and distance

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