Speed (m/s) 20- 2 3 10 100 Time (seconds) NOT TO SCALE 130 The speed-time graph shows information about the journey of a tram between two stations. (b) Calculate the average speed of the tram for the whole journey. AVERAGE SPEED TOTAL DISTANCE Time 2200⋆ 1305 16.9% 16.9

Farms in the United States The graph gives the number of farms in the United States from 1850 to 2000. aEstimate the average rate of change in the number of farms between i 1860 and 1890 and ii 1950 and 1970. bIn which decade did the number of farms experience the greatest average rate of decline?

DVD Player sales The table shows the number of DVD play-ers sold in a small electronics store in the years 2003-2013. What was the average rate of change of sales between 2003 and 2013? Whatwas the average rate of change of sales between 2003 and 2004? What was the average rate of change of sales between 2004 and 2005? Between which two successive years did DVD player sales increase most quickly?

The U.S. Census tracks the percentage of persons 25 years or older who are college graduates. That data forseveral years is given in Table 4[14]. Determine whether the trend appears linear. If so, and assuming the trendcontinues. in what year will the percentage exceed 35%?

The equation of the exponential function that models a data set is y = 6.8(1.03)* Determine the range of this function. Select one: O a. yly> 1.03, y e R} O b. (ylye R} Oc. yly> 6.8, y e R) Oc. O d. yly> 0, y e R)

Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to​ 2000, from 2000 to​ 2006, and from 1994 to 2006.

Movement of the Pacific Plate The Pacific plate (the floor of the Pacific Ocean) near Hawaii is moving at about 0.000071 kilometer per year. This is about the speed at which a fingernail grows. Use scientific nota- tion to determine how many kilometers the Pacific plate travels in 1 million years.

A model fit predicting preference for President (Democrat, Republican, Independent) using x = annual income (in $10,000 dollars) is log(pid/pii) =3.3− 0.2x and log(pir/pii) = 1.0 + 0.3x. State the prediction equation for log(pir/pid). Interpret its slope. Find the range of x for which pir >pid . State the prediction equation for pii.

The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 s (feet) 0 4.9 10.6 23.1 (a) Find the average velocity (in ft/s) for each time period. (i) [2, 4] 19.85 (ii) [3, 4] 27.2 (iii) [4, 5] 59.1 1 (iv) [4, 6] 93.8 ft/s ft/s ft/s ft/s 2 3 4 50.3 5 6 109.4 237.9 (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.) ft/s

Relative Frequency