Average speed of cyclist = x
average speed of car = 3x
x = 225/5
x = 45km/h
3x = 3(45)
3x = 135km/h
average speed of cyclist = 45km/h
average speed of car = 135km/h
This is a linear relationship. The slope-intercept form of the linear equation is:

Where,
- m is the rate of change (positive if increasing rate and negative if decreasing rate)
- c is the y intercept, or the initial value
<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>
<u><em>Initial value is 50 quarts, so c is 50.</em></u>
Plugging in the values we get
.
Changing variables to w instead of y and t instead of x, gives us,
. Where w is warts of water left in the tub and t is the time in minutes.
There is no viable solution when t=30 because at t=20, w=0 (
). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.
ANSWER:
Modelling equation: 
When
, there is no VIABLE solution
Answer:

Step-by-step explanation:
x² + 6x + 1 = 0
a = 1 , b = 6 , c = 1

Answer:
A) rate of change would be dividing the number of songs wanted (150) by the number of weeks downloading (5)
150/5 = 30
since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -30
Initial value is 150, which is the total number of songs they want
B) rate of change would be dividing the number of songs wanted (150) by the number of weeks downloading (5)
150/5 = 30
since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -30
Initial value is 150, which is the total number of songs they want