Austin and Dylan rode their bicycles. Austin's average speed is represented by the equation d = 20t, where d is the total distance traveled in t hours. The graph below represents Dylan's average speed while riding his bicycle. Who had the fastest average speed and by how much?

Austin has the better average speed by 5 mph

Step-by-step explanation:

The slope of Dylan’s graph will his average speed

Let’s select two points on the graph to use

The slope can be calculated as;

m = (y2-y1)/(x2-x1)

m = (90-30)/(6-2)

m = 60/4

m = 15

So the equation for Dylan would be

d = 15t

This shows that Austin has a faster average speed by 5 mph

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

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step-by-step explanation: