Rates of Change - Page 4

Questions
  • Jin ran 15.2 miles over the weekend. He ran 6.75 miles on Saturday. How many miles did he run on Sunday?
  • The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet ?
  • A kayak can travel 48 miles downstream in 8 hours, while it would take 24 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current?
  • What is the rate of change of y=-x+2?
  • 'What is the average rate of change for the function over the interval, f ( x ) = -x^2+5x between x = 0 and x = 9 ?
  • Carlos and Maria have drove a total of 197 miles in 3.8 hours. Carlos drove the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive?
  • Algebra can you solve this function f(x)=0.28x+1.7 to find the rate of change?
  • If r varies inversely as the square root of t and r=18 when t=4, find r when t=11?
  • Compare the rates of change of the following 2 items? Item 1:# y=-2x+6 color(white)("d")# Item 2: A line which passes through the points (2,2) and (1,6)
  • If y varies directly as x and y=3 when x= 2, find y when x=8?
  • If y varies directly as x and y=c when x=12 what is y in terms of c when x=8?
  • If Denise can run 5 km in 30 minutes and Clark can run 6 km in 39 minutes, who's faster?
  • James can jog twice as fast as he can walk. He was able to jog the first 9 miles to his grandmother’s house, but then he tired and walked the remaining 1.5 miles. If the total trip took 2 hours, then what was his average jogging speed?
  • How do i find the average rate of change of the function f(x)=x^2+3x from x(lower 1)=1 to x(lower 2)=2 ?
  • What is the rate of change for (2,6) and (1,9) ?
  • How do you find the average rate of change on the interval for f(x)=-2x^2+5, interval : [-2,-1] ?
  • Determine the relationship between the rates of change of f and g. ?
  • If you buy six pens and one mechanical pencil you'll get only $1 change from your $10 bill. But if you buy four pens and two mechanical pencils,you'll get $2 change. How much does each pen and pencil cost?
  • Which graph is the correct answer?
  • The graph of #y=g(x)# is given below. Sketch an accurate graph of #y=2/3g(x)+1# on same set of axes. Label the axes and at least 4 points on your new graph. Give the domain and range of the original and the transformed function?