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Setler [38]
2 years ago
10

Compare the table and equation. x y 1 3 2 6 3 9 Equation: y = 4x Which representation has the greatest slope?

Mathematics
1 answer:
aniked [119]2 years ago
6 0

Answer:

a) The equation has the greatest slope.

Step-by-step explanation:

The table has the values as shown below;

x    y

1    3

2   6

3   9

The gradient of the line can be found as;

m=Δy/Δx

m= 9-3 /3-1

m= 6/2

m₁= 3

The equation of the other line is :   y=4x

The gradient is , m₂ = 4

The presentation with the greatest slope is the equation that has a slope of 4.

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Answer:

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Step-by-step explanation:

Let the distance traveled from home to destination = x miles.

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Speed while coming back = 40 miles per hour.

Total Time taken for the journey = 45 minutes = 0.75 hours.

Let the time taken while going to friend's house = y hours.

Therefore, the time taken while going to friend's house = (0.75 - y) hours.

To find x and y, model the speeds of both the journeys.

Speed while going to friend's house = Distance/Time.

35 = x/y.

x = 35y (Equation 1).

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y = 30/75.

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Put y = 0.4 hours in Equation 1:

x = 35y.

x = 35(0.4).

x = 14.

Therefore, the distance between my friend's house and my house is 14 miles!!!

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