Answer:
y=-1.5x-4
Step-by-step explanation:
-3y=-2x+13
3y=2x-13
y=2/3x-13/3
Slope: -3/2
5=-6(-1.5)+b
5=9+b
b=-4
Answer:
Step-by-step explanation: Six less than a number is the same as one and four-tenths. The answer is this because a number represents z. When less is used in a word problem it almost always means subtract. Same as means equal to.
Answer: y = 32,000(1.08)^c
Step-by-step explanation:
Given that the initial population
P = 32000
t = 1 year
R = 8%
Y = 34,560
To predict y the number of people living in town after x years
t = x
Y = P(1 + 8%)^t
Y = 32000( 1.08)^x
Answer:
See the graph attached
Step-by-step explanation:
Every minute = 3m
At time zero, the depth is zero
Giving coordinates of (0, 0)
At time 1 minute, the depth is 3m
Giving coordinates of (1, 3)
This gives a linear equation
Slope = Δy/Δx
= (3-0)/(1-0)
= 3/1
= 3
Take any general point (x, y)
The equation of the line is:
(y-0)/(x-0) = 3
y/x = 3
y = 3x
See the plot which goes up to a depth of 5m
The exact slope is impossible to know for sure, because the function is not written out explicitly. (If we did, we could just do dV/dt evaluated at t = 10.)
However, you can estimate the slope at P by finding the average rate of change between t=5 and t=15, or by taking the average of the slopes of the adjacent secants. There are several ways to approximate the answer, but I don’t think you can find its exact value.
