<span><u><em>Answer:</em></u>
Dave makes $350
<u><em>Explanation:</em></u>
In order to find this answer, we must first establish the equation for his earnings.
<u>We use slope intercept form:</u>
y = mx + b,
where m = slope and b = y-intercept.
Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation <u>to get the following: </u>
y = 0.1x + 200.
Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350. </span>
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)
we just need the slope
take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1
the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation
solve for where y=x-1 and y=x-x² intersect
set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero
x-1=0
x=1
we got this point already
x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2
it intersects at (-1,-2)
1.50y(2)+2.00x=20
Now use the quadratic formula to solve
The first choice is right, area of 1 is 20, area of 2 is 16
