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
is it 46 ??? because i did the work and don't feel like explaining
12w - 27 = -34 + 14
w = 7/12
A -2w+21=-8w+36
w=17/8
B -5/6 w + 2 = -34+14w
w=216/89
C -47-10w=-9w-40-3w
w= 7/2
D 8/7w=13/14w+2
w=28/5
Becky was trying to open the door, but it was stuck,
so she asked me to compound on it with her.
