Question 1 James bikes to the store and burns 1600 calories. James decides to bike x more miles to burn 70 calories
per mile. James only has enough energy to go at most 6 more miles.
His situation can be modeled by the function f(x) = 1600 + 70x.
A reasonable domain for the function is 0 < x < 6 because the function is CONTINUOUS.
A reasonable RANGE for this function would be:
O a
Oь
1600 {1600, 1670, 1740, 1810, 1880, 1950, 2020}
70 {70, 140, 210, 280, 350, 420}

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

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.

The perimeter of a quarter circle is 14.28 miles. what is the quarter circle's radius?