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Understand linear functions, slopes, x-intercepts, and rate of change through real-world examples and equations in algebra.
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2A. A car travels at 60 mi/h. The function f (x) = 60x gives the distance the car travels in x hours. What is the range of this function? distance (mi)
2B. A vacation home in Orlando, Florida, rents for $105 per day. The function f (x) = 105x gives the cost of renting the home for x days. What is the domain of this function? cost (dollars)
3B. A parking meter gives 30 minutes for each quarter and 6 minutes for each nickel. The equation 30x + 6y = 60 describes the number of quarters x and nickels y that you need to park for 60 minutes. What does the x-intercept represent?
4A. The table shows the price of a video game for different years since the game was released. During which time interval did the price decrease at the greatest rate?
4A. The table shows the price of a video game for different years since the game was released. During which time interval did the price decrease at the greatest rate?
4A. The table shows the price of a video game for different years since the game was released. During which time interval did the price decrease at the greatest rate?
4A. The table shows the price of a video game for different years since the game was released. During which time interval did the price decrease at the greatest rate?
4B. This table shows the U.S. federal minimum hourly wage in different years. During which time interval did the wage increase at the greatest rate?
4B. This table shows the U.S. federal minimum hourly wage in different years. During which time interval did the wage increase at the greatest rate?
4B. This table shows the U.S. federal minimum hourly wage in different years. During which time interval did the wage increase at the greatest rate?
4B. This table shows the U.S. federal minimum hourly wage in different years. During which time interval did the wage increase at the greatest rate?
6A. Find the slope of the line that contains the points (6, 8) and (2, 1).
6B. Find the slope of the line that contains the points (1, -1) and (-2, 8).