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Please help me with the comparing proportional relationships​

Please help me with the comparing proportional relationships​-example-1
User Jodonnell
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1 Answer

3 votes

Answer:

The answer to your question is:

Explanation:

1.-

Keisha's rate

m = (1.5 - 2) / (2.4 - 3.2)

m = -0.5 / -0.8

m = 0.625

Fatima´s rate

m = (2 - 1) / (3 - 1.5)

m = 1 / 1.5

m = 0.67

Fatima runs at a faster rate.

y - y1 = m(x - x1)

y - 1 = 0.67( x - 1.5)

y = 0.67x - 1.005 + 1

y = 0.67x - 0.005

6 = 0.67x - 0.005

6 + 0.005 = 0.67x

6.005 = 0.67x

x = 6.005/0.67

x = 8.9 ≈ 9 min It will take 9 min to Fatima to run 6 laps.

2.-

Ty makes 3 sandwiches / 2 min and 6 sandwiches / 4 min

Jamal makes 1 sandwich / 2 min and 2 sandwiches / 4 min

In ten minutes

Time Ty Jamal Total

4 min 6 2 10 sandwiches

8 min 12 4 16 sandwiches

10 min 15 5 20 sandwiches

Together they made 20 sandwiches

Ty made 15 sándwiches

Jamal made 5 sandwiches

3.-

Dog walkers slope Joggers slope

m = (50 - 25) / (4-2) m = (36 - 12) / (3 - 1)

= 25 / 2 m = 24 / 2

= 12.5 = 12

( y - 25) = 12.5 (x - 2) ( y - 12) = 12 ( x - 1)

y - 25 = 12.5x - 50 y - 12 = 12x - 12

y = 12.5x - 50 + 25 y = 12x - 12 + 12

y = 12.5x - 25 y = 12x

When x = 8

y = 12.5(8) - 25 y = 12 (8)

y = 75 y = 96

There will be 96 joggers and 75 dog walkers.

There will be more joggers.

User Joksnet
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