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Two truck drivers are traveling from a factory to make deliveries. The graph and the table below show the data for their distances after each hour.

Using this information, which of these statements are true? Choose the THREE responses that are correct.

A

The equation that represents the data shown for truck 1 is y=20x .

B

The constant of proportionality for the data for truck 2 is 45 miles per hour.

C

The constant of proportionality for the data for truck 1 is 20 miles per hour.

D

The distance traveled over time by both trucks represent proportional relationships.

E

The data shown for the distance traveled for truck 2 represent a non-linear relationship.

 Jan 30, 2019
 #1
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The first looks pretty linear to me

 

y changes by 20  when x changes by 1

 

So

 

y = 20x

 

And the proprtionality constant  (slope) of the data for truck 1  =  20

 

So  A and C  are correct

 

 

For Truck 2.....

 

Note that the slope is not constant

 

The slope from hour 1 to hour 2 =  90 - 45  =  45

However.....the slope from hour 2 to hour 3  = 145 - 90  =  55

 

So.....this is not linear because the slope is not constant

 

So   E is another correct answer

 

 

cool cool cool

 Jan 30, 2019

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