In: Advanced Math
1) Assume that in 2014 the number of vehicle sales in the Ukraine was 232 thousand and in 2019 it was 108 thousand. a) determine the average rate of change (slope) in the number of vehicle sales from 2014 to 2019. Include the units. b) if x is the number of years since 2014 and z(x) is the number of vehicles sold, write the equation of the line through these two points. c) Assuming z(x) is a linear function, use the equation to predict the number of vehicles sold in 2022.
2) A cyclist traveled 12 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 52.5 kilometers, the skater had gone 22.5 kilometers. Determine the speed of the skater.
3) The wexler family and the Santamaria family each used their sprinklers last month. The water output rate for the Wexler's family sprinkler was 20 gallons per hour. The water output rate for the Santamaria's sprinkler was 23 gallons per hour. The families used their sprinklers for a combined total of 40 hours, resulting in a total water output of 875 gallons. How many hours was each family's sprinkler used?