Answer:
Step-by-step explanation:
<u>Proportional Model</u>
The number of miles m that Lexus can skateboard in t minutes can be modeled by:
m = kt
It's given that Lexus skateboard from his house to school for a distance of m=4 miles in t=20 minutes.
Substituting:
4 = k.20
Dividing by 20
Simplifying:
This produces the model
Answer:
Below in bold.
Step-by-step explanation:
x-intercepts (-3,0) and (6, 0)
y-intercept (0, -5)
Axis of symmetry:
(-3 + 6) / 2 = 1.5
x = 1.5.
Domain = all real x.
Range is f(x) ≥ -6.
Graph is positive for x < -3 and x > 6.
Negative for -3 < x < 6.
Increasing for x > 1.5 and decreasing for x < 1.5.
X = Lilys weight
x + 34 = Arthurs weight
4x - 180 = combined weight
x + x + 34 = 4x = 180
2x + 34 = 4x - 180
-2x -2x
_________________
34 = 2x -180
+180 + 180
_______________
214 = 2x
107 = x which is Lily's weight
141 = x + 34 which is Arthur's weight
The total weight is 248
which is the answer that you get when you do 4(107) = 180 or
428 -180 = 248
2.73972603 or ... you can round to the nearest tenth... 2.7
