Rates of Change - Page 6
Questions
- Anna runs 5 km in 20 minutes. What is her speed in kilometers per hour?
- What is the average rate of change of the function #y = x^2+1# over the interval #[5, 5+a]# ?
- What is the rate of change of the equation #2x -y = 1#?
- How do you show that the slope of #{(y=at+b),(x=ct+d):}# is #a/c#?
- If #f(x)# varies inversely with #x# and #f(x) = 5# when #x = 4#, what is the value of #f(x)# when #x=8#?
- The cost of renting a canoe is a flat fee of $5.00 plus $3.00 per hour. What is the cost of renting a canoe for 4 hours?
- Carla is renting a canoe. It costs $80 for 2 hours and $110 for 4 hours. What is the rate of change for this situation?
- Michelle has two different babysitting rates. Rate A is a flat fee of $10 plus $10 per hour. Rate B is $12 per hour. What is the LEAST number of hours she must baby-sit to make Rate B the better paying rate?
- Jackie drove 7 hours at an average rate of 60 miles an hour. How far did she travel?
- Christiana's pay varies directly with the number of hours she works. If she works 5 hours, she earns $80. How much does Christiana earn if she works 8 hours?
- How do you graph #\frac { 2} { 3} x = 6y - 8#?
- If a runner runs at a constant speed of 120 minutes and runs 18 miles, how far did she run in 160 minutes?
- It costs $5.50 per hour to rent a pair of ice skates, for up to 2 hours. After 2 hours, the rental cost per hour decreases to $2.50. How much does it cost to rent a pair of ice skates for 4 hours?
- Over a 12 hour period from 8 p.m to 8 am the temperature fell at a steady rate from 8 degrees F to -16 degrees F. If the temperature fell at the same rate every hour, what was the temperature at 4 a.m.?
- What is the rate of change in #y=1/3x-4#?
- What is the rate of change of the ordered pairs (1250,1) and (-520, 4)?
- At the beginning of 2007, a start-up company had already received 120,000 hits at its website. At the beginning of 2009, that number had climbed to 440,000. What is the rate at which the number of hits is increasing?
- How do you solve #\frac { 6} { x - 3} \geq 4#?
- How do you graph the solution to #-3(p-7)>=21# on a number line?
- An income tax follows the step-wise graph (where #x# is income): 0 for incomes 0 or less, #.14x# for #0<x<=10,000#, and #c+.21x# for #x>10,000#. What value of #c# will make the graph continuous?