It is required that the production cost must be less than R123 505. Determine the number of devices that will be produced. Show your solution graphically. Use interval notation and indicate the restriction on the number type of you answer. Interpret your answer

The production cost is an illustration of a quadratic function

The equation of the production cost is y=ax^2+bx-c

How to determine the equation

From the complete question, we have the following parameters:

Using the instructions in the complete question, the equation of the production cost would be: y=ax^2+bx-c

Hence, the production cost is y=ax^2+bx-c

When the production cost is less than 123,505

The equation becomes

ax^2+bx-c < 123,505

c. 1,233 miles

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.