a) The number of paid vacation days that Jonathan gets at the end of five years of employment is <u>19 days</u>.
b) The model of the relationship between x, the number of years Jonathan has worked, and y, the number of paid vacation days earned, is <u>y = 4 +3x</u>.
c) Jonathan will reach the maximum number of paid vacation days allowable in 8 years.
<h3>Data and Calculations:</h3>
Initial paid vacation time for the first year = 4 days
Additional paid vacation time for an additional year = 3 days
Number of paid vacation time after 5 years = 19 days (4 + 3 x 5)
Number of years worked = x
Number of paid vacation days earned = y
Model of the relationship between x and y is <u>y = 4 +3x</u>.
If y = 28 days
x = (28 - 4)/3
x = 24/3
x = 8 years
Thus, the model of the relationship between x and y is <u>y = 4 +3x</u>.
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<h3>Question Completion:</h3>
a.) How many paid vacation days does he now get at the end of five years of employment?
b.) Using x for the number of years he has worked for the ad agency and y to represent the number of paid vacation days earned, write an equation to model the relationship between them.
c.) When will Jonathan reach the maximum number of paid vacation days allowable?
