The employees of a company were asked how long it took (in minutes) to commute to work. The results are shown in the following histogram. The time is on the x-axis, in intervals of 10 minutes, starting at 0. The number of employees is on the axis. y- Travel Time to Work 10 20 30 40 50 60 70 80 90 Time (in minutes) © 2020 StrongMind. Created using GeoGebra. How many employees took 30 minutes or less to get to work? O 7 22 15 9. Number of Employees cO N 65

Ben mows 0.5 acre of a large field every hour. Generate the set of ordered pairs for the ratio relationship between the total acres mowed y and the number of hours x for a total of 1, 2, 3, and 4 hours. Then graph the relationship on the coordinate plane and describe the pattern in the graph.

to nearest whole number. enter return 5. Each number represents the age of an actor at the time he or she won an Oscar for Best Actor. Make a frequency chart. The x column will be the midpoint of the interval. 32 37 36 51 53 33 61 35 45 55 39 76 37 42 40 32 60 38 56 48 48 40 43 62 43 shift 42 44 41 56 39 46 31 47 45 60 46 40 36 INTERVAL TALLY FREQUENCIES MIDPOINT = x 30-34 35-39 45-49 50-54 55-59 99-09 69-59 70-74 75-79

A car travelling along a straight road is clocked at a number of points. Use the following times and positions to predict the speed (feet per second) at each time listed. Time (seconds) 0 Distance (feet) 0 225 3 5 8 10 13 383 623 742 993

The following chart shows the percentage of the U.S. discretionary budget allocated to education from 2003 to 2009 (t = 3 represents the start of 2003).   A bar graph titled "Percentage of U.S. budget on education" has a horizontal t-axis labeled "Year since 2000" and a vertical axis labeled "Percentage". The bar graph has 7 bars. Each bar is associated with a label and an approximate value as listed below. 3: 6.8% 4: 7% 5: 7% 6: 6.9% 7: 6.5% 8: 6.3% 9: 6.2% The following table shows the percentage of the U.S. discretionary budget allocated to education in 2003, 2005, and 2009 (t = 3 represents the start of 2003). Year t 3 5 9 Percentage 6.8 7 6.2 Find a quadratic model for these three years. (Round your coefficients to two decimal places.) p(t) =          Use your model to estimate the percentage of the U.S. discretionary budget allocated to education in 2007. (Round your answer to two decimal places.)

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Linear Methods

A pediatrician records the age x (in yr) and average height y (in inches) for girls between the ages of 2 and 10. Height of Girls vs. Age 50- 40- (4,38) 30- 10- 0 Age(yr) Part: 0 / 4 Part 1 of 4 (a) Use the points (4, 38) and (8, 50) to write a linear model for these data. X y = Skip Part Check Height (in.) (8,50) Ⓒ2022 McGraw Hill LLC. All Rights Reserve A

Write the equation corresponding to the graph of y = 5* after having been translated three units upward, four units to the left, and las reflected over the x-axis. Write your answer without using parentheses. Enter your next step here

4. True or false? "If A is a square matrix of order n, with n ≥ 2, and A has a zero on the main diagonal, then A is not invertible." If the statement is true, give a proof. If the statement is false, give a counterexample.