Answer:
The answer to your question is:
Step-by-step 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.
