Louis and Kira are 700 feet apart when they start biking str…

Louis and Kira are 700 feet apart when they start biking straight toward one another at the same time. Louis rides twice as fast as Kira. Let  represent the distance (in feet) that Kira has biked since they started traveling toward each other. a) Draw a diagram that represents this situation with Louis and Kira, being sure to label all relevant quantities.b) Which quantities in the scenario are fixed and which quantities are varying?c) Write a formula that expresses the distance  between Louis and Kira (in feet) in terms of .

Patient Smith wants to calculate the number of calories in s…

Patient Smith wants to calculate the number of calories in snack foods eaten each day. One beverage contains 120 calories, 2 servings of chips contain 135 calories each, 1 apple contains 100 calories, and a Popsicle contains 160 calories. How many calories has the patient ingested in snack foods/beverages?

Daniel is getting better at math. On his first quiz he score…

Daniel is getting better at math. On his first quiz he scores 52 points, then he scores 57 and 62 on his next two quizzes. Assume his scores continue to increase at the same rate. a) Write an explicit formula for the sequence given by the scores on Daniel’s quizzes.b) What will be his score on the 14th quiz?