Math 141 Final Test Questions with100%
Correct Answers
slope
If (x1, y1) and (x2, y2) are two distinct points on a line L, then the
(m) of L is:
slope formula
y2-y1/x2-x1
point slope form
An equation of the line that has slope m and passes through the point (x1, y1)
point slope formula
Y-Y1=m(x-x1)
slope intercept
An equation of the line that has slope m and intersects the y-axis at the point (0, b) is:
slope intercept form
Y=MX+B
function
rule that assigns to each value of X one and only value of Y
independent variable
X
,dependent variable
Y
domain and range
the set of all possible values that X can assume
the set of all possible values that Y can assume
cost function
cost of manufacturing X units of a product
C(X) * CX+F
C= cost per unit
F= fixed cost
revenue function
revenue realized from selling X units of the product
R(x)= SX
S= selling price
Profit Function
P(x) = R-C
how to solve intersectioin of 2 straight lines
, Write the equations of the lines in slope-intercept form.
• Set the expressions for y equal to each other.
• Solve for x.
• Plug the value of x into either equation to find y.
or in calc!! Y= ---- graph------ 2nd trace ----- intersect
market equilibrium
The point at which the consumer and supplier agree upon
(i.e. the point of intersection of the supply and demand curves)
Break even point
The point at which a company suffers neither a loss or gain
(i.e. the point of intersection of the revenue and cost functions).
OR where PROFIT = 0
standard form of quadratic function
a,b,c = real numbers
a not = to 0
Y=F(x)= ax^2+bx+c
porabola
graph of a quadratic function
vertex and vertex form
Correct Answers
slope
If (x1, y1) and (x2, y2) are two distinct points on a line L, then the
(m) of L is:
slope formula
y2-y1/x2-x1
point slope form
An equation of the line that has slope m and passes through the point (x1, y1)
point slope formula
Y-Y1=m(x-x1)
slope intercept
An equation of the line that has slope m and intersects the y-axis at the point (0, b) is:
slope intercept form
Y=MX+B
function
rule that assigns to each value of X one and only value of Y
independent variable
X
,dependent variable
Y
domain and range
the set of all possible values that X can assume
the set of all possible values that Y can assume
cost function
cost of manufacturing X units of a product
C(X) * CX+F
C= cost per unit
F= fixed cost
revenue function
revenue realized from selling X units of the product
R(x)= SX
S= selling price
Profit Function
P(x) = R-C
how to solve intersectioin of 2 straight lines
, Write the equations of the lines in slope-intercept form.
• Set the expressions for y equal to each other.
• Solve for x.
• Plug the value of x into either equation to find y.
or in calc!! Y= ---- graph------ 2nd trace ----- intersect
market equilibrium
The point at which the consumer and supplier agree upon
(i.e. the point of intersection of the supply and demand curves)
Break even point
The point at which a company suffers neither a loss or gain
(i.e. the point of intersection of the revenue and cost functions).
OR where PROFIT = 0
standard form of quadratic function
a,b,c = real numbers
a not = to 0
Y=F(x)= ax^2+bx+c
porabola
graph of a quadratic function
vertex and vertex form
