For the level 3 course, exam hours cost twice as much as workshop hours, workshop hours cost twice as much as lecture hours. how much are lectures per hour?

Cost of lectures = $7.33 per hour

Let the cost of the exam hours

Let be the cost of the workshop hours

Let be the cost of the lecture hours.

We know from our problem that exam hours cost twice as much as workshop, so:

equation (1)

We also know that workshop hours cost twice as much as lecture hours, so:

equation (2)

Finally, we also know that 3hr exams 24hr workshops  and 12hr lectures cost $528, so:

equation (1)

Now, lets find the value of :

Step 1.  Solve for in equation (3)

equation (4)

Step 2. Replace equation (1) in equation (4) and simplify

equation (5)

Step 3. Replace equation (2) in equation (5) and solve for

Cost of lectures  = $7.33 per hour

ratio is 2 : 9

the answer is three

13.5 : 3

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.