Stella is renting a car for a business trip. the car rental agency charges a flat rate of $60 plus $0.50 per mile for every mile she drives over 40 miles. stella’s company will pay up to $270, excluding the cost of gasoline, for the use of the rental car. what is the greatest number of miles stella can drive the rental car without spending more than $270?

When they are both racing on hoverboards, victoria is 3 times as fast as her brother max. when she is on foot, she is 3 times slower than max on his hoverboard. they took off on hoverboards at the same time, but after 12 minutes, victoria’s hoverboard broke and she immediately started to run. if the race was a tie, how long, in minutes, did it last from start to finish?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?