Exam 4: Lines parabolas and Systems

The average weight of newborn blue whales is 3 tons.By the time they are 7 months old the average weight of these whales is 23 tons.Draw a line showing the relationship between weight (in tons)and age (in months)of blue whales.Find and interpret the slope.

Find the slope-intercept form of an equation of the line that passes through the point (2,0)and has slope 4.

Find the slope of the line 4x - 8y + 5 = 0.

The size of a human fetus more than 12 weeks old can be estimated by the formula L = 1.53t - 6.7,where L is in centimeters and t is in weeks.An obstetrician uses the length of a fetus,measured in an ultrasound,to determine the approximate age of the fetus and establish a due date for the mother.The formula must be rewritten to result in an age t,given a fetal length L.Use a graphing calculator to graph the resulting equation and verify the y-intercept.

An automobile factory produces two models.The first model requires 7 widgets and 10 shims.The second model requires 15 widgets and 21 shims.The factory can obtain 800 widgets and 1130 shims per hour.How many cars of each model can it produce per hour if all parts available are used?

A young family with two children has $40,000 saved for college costs,with part invested at 12% and part invested at 8%.If the total yearly income from the investments is $3400,how much is invested at each rate?

One solution of the system is x = 1 and y = 1.Another solution is

Find the minimum value of g(x)= 3 - 3x + 4.

If you solve the following system,what is the value of y?

The equation of a certain line is y + 2 = -2(x - 3).Find: (a)the slope-intercept form and (b)a general linear form.

An equation of the line with slope 8 and y-intercept 5 is

Find the Break Even Quantity for a product whose Total Revenue, ,(in $)and Total Cost, ,(in $)are as follows: = (10q - 25)q = 2000 + 75q

For the linear function f(x)= -5x + 5,find: (a)the slope and (b)the vertical axis intercept.(c)Sketch the graph of f.

The slope of a certain line is 4.If the x-value of a point on the line increases by 3 units,by how many units does the y-value increase?

Find the equation of a line having slope 0.5 and x-intercept = 1.3.

The supply and demand equations for a product are p = q + 20 and p = 200 - Q,respectively,where q represents the number of units and p represents the price per unit in dollars.The equilibrium price is

A pharmacist has two solutions that contain different concentrations of the same medication.One solution contains a 12% concentration of the medication and the other contains a 7% concentration.How many cubic centimeters of each should she mix to obtain 40 cc of an 8% concentration?

Graph the function y = f(x)= + 5 - 4 and indicate the coordinates of the vertex and intercepts.

Find the equation of a line which is parallel to the line 2x + 3y - 7 = 0 and passes through the point (-1,2).

Show that the points A(0,0),B(0,3),C(8,5),and D(12,3)are the vertices of a trapezoid.(A trapezoid is a four-sided figure with exactly two sides parallel.)