01 Finding Rates of Change

1.

Multiple Choice

15 mins

1 pt

A climber is scaling a rock face. Two hours after starting his climb, he is at an altitude of 400 feet. After six hours, he is at an altitude of 700 feet. What is his average rate of change?

200 ft/hr

150 ft/hr

300 ft/hr

75 ft/hr

2.

Multiple Choice

15 mins

1 pt

A balloon was 10 feet off the ground when it was the child who was holding it let it go. 5 seconds after that, the balloon was 20 feet off the ground. What was the balloon's rate of ascent?

10 feet per second

5 feet per second

2 feet per second

6 feet per second

3.

Multiple Choice

15 mins

1 pt

Craig earns extra money working as a lifeguard. He earned $37 after working for 4 hours and $64.75 after working for 7 hours. What was Craig's wage?

$37/hr

$64.75/hr

$9.25/hr

$18.50/hr

4.

Multiple Choice

15 mins

1 pt

A scuba diver is 30 feet below the surface 10 seconds after she entered the water, and 100 feet below the surface after 40 seconds. What is this scuba diver's rate of descent? Round to the nearest hundredth.

2.33 ft/sec

0.45 ft/sec

2.50 ft/sec

3.14 ft/sec

5.

Multiple Choice

15 mins

1 pt

A rocket is one mile above the earth 30 seconds after launch and five miles above the earth 2.5 minutes after launch. What is the rocket's rate of change in miles per second?

0.03 mi/sec

1.80 mi/sec

0.23 mi/sec

0.15 mi/sec

6.

Multiple Choice

15 mins

1 pt

A chef weighed 145 lbs in 1986 and weighed 190 lbs in 2007. What was this chef's rate of change in weight?

2.14 lbs/year

11 lbs/year

4.1 lbs/year

0.24 lbs/year

7.

Multiple Choice

15 mins

1 pt

Michael started a savings account. 4 weeks after starting this account, he had $300 dollars in it, and after 9 weeks, he had $400. What was the rate of change of money in his savings account over this time?

$20/week

$140/week

$50/week

$7.69/week

8.

Multiple Choice

15 mins

1 pt

After 30 baseball games, A-Rod had 25 hits. If after 100 games he had 80 hits, what is his average number of hits per game?

1.27 hits per game

0.79 hits per game

1.25 hits per game

0.83 hits per game

9.

Multiple Choice

15 mins

1 pt

Frank worked from 8:00 AM until 5:00 PM and made $80. What was his hourly rate of pay?

$8.89 per hour

$16 per hour

$10 per hour

$11.25 an hour

10.

Multiple Choice

15 mins

1 pt

We like to think of _____________ as "where you ended up, minus where you started."

change

slope

rate of change

ratios

11.

Multiple Choice

15 mins

1 pt

_____________ is a Greek letter that means "change in."

delta

sigma

pi

epsilon

12.

Multiple Choice

15 mins

1 pt

Which of the following is the correct equation to find rate of change?

m=(y₂-y₁)/(x₂-x₁)

m=(x₂-x₁)/(y₂-y₁)

m=(y₂-x₂)/(y₁-x₁)

m=(y₂+y₁)/(x₂+x₁)

13.

Multiple Choice

15 mins

1 pt

True or False: "Slope" is just another word for rate of change. We tend to use this word when graphing the relationship between two quantities.

True

False

14.

Multiple Choice

15 mins

1 pt

What letter name do we give to the independent variable?

x

y

m

b

15.

Multiple Choice

15 mins

1 pt

What letter name do we give to the dependent variable?

x

y

m

b

16.

Multiple Choice

15 mins

1 pt

___________ is almost always an independent variable

time

weight

money

speed

17.

Multiple Choice

15 mins

1 pt

A plane left Chicago at 8:00 AM central time. At 1:00 PM central time, the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip?

300 mph

214 mph

167 mph

620 mph

18.

Multiple Choice

15 mins

1 pt

Every hour, a runner is able to run the same number of miles. After her 3rd hour of running she has gone 15 miles, and after her 5th hour of running she has gone 25 miles. What is the rate (speed) at which she runs?

5 mph

20 mph

0.2 mph

0.05 mph

19.

Multiple Choice

15 mins

1 pt

A rate is a number with a unit that...

is a single quantity

is a fraction of two different quantities

does not exist

is the square of a quantity

20.

Multiple Choice

15 mins

1 pt

A convenience store opened for the day with 200 bags of Cheetos in stock. Five hours later, there were only 120 bags of Cheetos left.

How many bags of Cheetos was this store selling per hour, on average?

16

64

6

75

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