Question 1: It takes $423.5 to fill a 275 - gallon oil tank during the winter of 2001.
Write a formula that relates Cost, C, as a function of gallon of oil, n.( assume the
price per gallon is a constant value). Since 0 gallon cost $0 this is a direct proportional problem:
C = k n

Rate = $423.5 / 275 gal = $ per gal

So C = 1.54 n
 

Question 2. Use you calculator or algebraic means to solve the following problem:
Find approximate value(s) of x for when y = 30, for the following equation
y = x² + |x| (show sketch or solution steps)

Algebraic trial and error:

For y = x² + |x| = 30 substitute values of x = 1 to n to find an exact or approximate solution:

= 30

Question 3. For a special job assignment you get a different rate of pay depending on your experience; i.e. The higher your rate of pay, the fewer hours you have to work to make the same amount of money. If your rate of pay is $5 per hour you must work 480 hours to make the same amount of money as a person who only works 240 hours with a rate of pay of $10. Write a function that relates hours worked, h to hourly rate of pay, w . i.e. h = f(w): (hint inverse function)

(1a) Given 2 points: 480 hours when the rate of pay is $5 and

240 hours when the rate of pay is $10

Since this is an inverse function formula is: 

Using any one point: k = 480 x 5 or 240 x 10 = 2400

So formula is: 

Question 4. Use you calculator or algebraic means to solve the following problem:
Find approximate value(s) of x for y= 20 given the following equation: y = x² - |x|.

Algebraic:

For y = x² - |x| = 20 substitute values of x = 1 to n to find an exact or approximate solution:

= 20

Question 5: The relationship between two physical attributes is given by the graph below:
 
 

(a) Write a formula that shows V as a function of P (Using any pair of points) So  (b) What is the value of V when P is 10? When P = 10, V=

Question 6: The relationship between two physical attributes is given by the graph below:
 
 

(a) Write a formula that shows V as a function of P (Using any pair of points) So (b) What is the value of V when P is 10? When P = 10, V=

 
 

Question 7: At what value(s) of x will the function ?

When x = 3 and -3 (points where the square root function crosses the line y = 2)