The output of a factory in units per day versus the number of employees working is plotted on the graph below, with the following data points collected:

(Workers, Units of output per day):

Assuming a linear relationship, interpolate to find how many units will be made per day if workers are present.

Given the two following points, use interpolation to determine the best estimate for the value

,

Given the points and , use linear interpolation to find the value of when .

Given and use linear interpolation to find when .

Mary measures her height every year on her birthday, starting at 11 until she turns 16. She wants to make a table with all the information gathered, but discovers she lost the piece of paper on which she wrote her height down on her 14th birthday. Her incomplete table looks like this:

Using the method of linear interpolation, which of the following is the closest estimate of Mary's height on her 14th birthday?

Find the value of when given the points and .