Oscar and Maria each wrote an equation that they felt represented the proportional relationship between distance in kilometers and distance in miles. One entry in the table paired 500 km with 75 miles. If y represents the number of kilometers and x represents the number of miles, who wrote the correct equation that would relate kilometers to miles? Explain why and show work to justify your reasoning. Oscar wrote the equation y = 0.15x and he said that 0.15 represents kilometers per mile.

Maria wrote the equation y = 6.7x and she said that 6.7 represents kilometers per mile.

How many of the 250 grandparents in the population would you expect to prefer online shopping with merchant a? merchant a: 4 merchant b: 6 merchant c: 2 merchant d: 3 other: 5 none: 5 answer choices: a. about 4 b. about 8 c. about 40 d. about 21

Which value would be a solution for x in the inequality 47-4x< 7

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.