Performance Task After filling the ketchup dispenser at the snack bar where she works,
Kelley measures the level of ketchup during the
day at different hourly intervals.
5 h: 11 in.
8 h: 10 in.
11h: 8 in.
ketchup
mustard
mayonnaise
Part A Assuming the ketchup is used at a
constant rate, write a linear equation that can
be used to determine the level of ketchup in
the dispenser after x hours.
Part B How can you use the equation from
Part A to find the level of ketchup when the
dispenser is full?
Part If Kelley fills the ketchup dispenser just
before the restaurant opens, and the restaurant
is open for 18 hours, will the dispenser need to
be refilled before closing time? Explain.

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.