A. I would suggest including <em>all</em> units in your answer. Both answers are correct but the unit is also important.
average rate of change:
($750 - $350) / (2014 - 2010) = $400 / (4 years) = $100 per year
initial value:
$350
B. Take 2010 to be year 0. Then for year <em>x</em> = 0, the fee is <em>y</em> = $350.
If the fee increases at a rate of $100 per year, this means that when <em>x</em> = 1, <em>y</em> = $350 + $100 = $450. So the graph of the function that models the dog-walking fee is a line that passes through the points (0, 350) and (1, 450), adn the slope of this line is
(450 - 350) / (1 - 0) = 100/1 = 100
which is the same as the average rate of change.
Using the point-slope formula for a line, the equation you want is then
<em>y</em> - 350 = 100 (<em>x</em> - 0)
<em>y</em> - 350 = 100<em>x</em>
<em>y</em> = 100<em>x</em> + 350
The answer is x=-5 and x=1
Explanation: you just look where the line crosses the x axis which is left to right
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = -2/3x + b
-1 = -2/3(-3) + b
-1 = 2 + b
-3 = b
y = -2/3x - 3
Answer:
f(x):
g(x)
Step-by-step explanation:
When a function is of the form:
The equation of the axis of symmetry is
The given function is
We can see that h=-4
Hence the equation of axis of symmetry is
From the graph, the axis of symmetry of h(x) is the vertical line that divides the parabola into two congruent halves.
This line is
Answer:
similar and same shape.
Step-by-step explanation:
