(1,3)(3,5)
slope = (5-3) / (3-1) = 2/2 = 1
(3,5)(4,7)
slope = (7-5) / (4-3) = 2/1 = 2
False....they are not collinear because they have different slopes and do not lie on the same line
Answer:
Keith's unit rate of change of dollars with respect to time is $1500.
Step-by-step explanation:
It is given that Keith is saving money for a car.
Year 1: 1500
year 2: 3000
year 3: 4500
Let y be the saved amount after x year.
The coordinate pairs according to the given table are (1,1500), (2,3000) and (3,4500).
The formula for rate of change is
Consider any two coordinate pairs.
Let as consider (1,1500) and (2,3000). So, Keith's unit rate of change of dollars with respect to time is
Therefore, Keith's unit rate of change of dollars with respect to time is $1500.
Answer: it will take 7 seconds
Step-by-step explanation: 9 x 7 = 63
Answer:
<em>x = -8; y = 0</em>
Step-by-step explanation:
x + 2y = -8
3x - 4y = -24
We will use the substitution method.
Solve the first equation for x.
x = -8 - 2y
Replace x of the second equation with <em>-8 - 2y</em>, and solve for y.
3<em>x</em> - 4y = -24
3<em>(-8 - 2y)</em> - 4y = -24
-24 - 6y - 4y = -24
-24 - 10y = -24
-10y = 0
y = 0
Now we substitute 0 for y in the first original equation and solve for x.
x + 2y = -8
x + 2(0) = -8
x + 0 = -8
x = -8
Solution: x = -8; y = 0
