1.In September 2006 the exchange rate was $1.00 U.S. to 0.79 euros, the common E
ID: 3034975 • Letter: 1
Question
1.In September 2006 the exchange rate was $1.00 U.S. to 0.79 euros, the common European currency.
a. Find a linear function that converts U.S. dollars (D) to euros (E).
b. Find a linear function that converts U.S. dollars (D) to euros (E) with a service fee of $3.50.
2.Find the equation of the line that is parallel to y= 2-6x and that passes through the origin.
3.The total cost C for football tickets is directly proportional to the number of tickets purchased N. If two tickets cost $70, construct the formula relating C and N. What would the total cost of twelve tickets be?
4.Find the equation of the line that is parallel to W=500C+4314 and passes through the point where C=6 and W=400.
5.Find the slope of a line perpendicular to each of the following.
Give the exact answers, in fraction form if needed.
a. y=5-4x
m=?
b. y=x
m=?
6.Find an equation for the line that is perpendicular to y=4x-17 and passes through (5,-6).
y=f(x)=?
7.Solve the equation 19x+6y=3 for y, identify the slope, then find an equation for the line that is parallel to the line 19x+6y=3 and passes through the point (0,7).
y=?
Explanation / Answer
Standard slope intercept equation is given by:
y = mx + c
m = slope
c = intercept.
2.
for parallel equation slope remains same.
y = 2 - 6x
y = -6x + 2
compare it with standard equation
m = -6
it passes through (0, 0)
equation of line will be
(y - y1) = m*(x - x1)
y - 0 = -6*(x - 0)
y = -6x
y + 6x = 0
5.
A.y = 5 - 4x
y = -4x + 5
m = -4
B
y = x
y = 1x + 0
m = 1
6.
for perpendicular lines:
m1*m2 = -1
given line
y = 4x - 17
m1 = 4
m2 = -1/m1
m2 = -1/4
it passes through (5, -6)
equation of line will be:
(y - (-6)) = (-1/4)*(x - 5)
4y + 24 = -x + 5
4y = -x - 19
4y + x + 19 = 0
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