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
1 mile/hour = 5280 feet/(60 x 60) seconds = 1.467 feet/second
25 miles/hour = 1.467 x 25 = 36.67 feet/second.
Answer:
Remainder 209
Step-by-step explanation:
f(x)= 4x⁵+5x⁴+1
x-2=0⇒x=2
Putting x=2 in the above equation
f(x)= 4(2)⁵ +5(2)⁴+1
f(x)= 4(32) +5(16) +1
f(x)= 128 +80+1
f(x)= 209
The first you should have to do is calculate the volume so start by drawing a picture then just go on the math solutions website
