The table below represents the distance of a car from its destination as a function of time: Time
(hours)
x Distance
(miles)
y
0 900
1 850
2 800
3 750
Part A: What is the y-intercept of the function, and what does this tell you about the car? (4 points)

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3, and tell what the average rate represents. (4 points)

Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination? (2 points)

(10 points)

Simplify the expression 10/11(22z) + (a+5) -1

The distributive property allows you to say that 3(x − 1) = 3x −

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.