9.a Rate Problems

Question 1

What is a “rate”?

Answer 1

A ratio that compares two quantities of two different units of measurement

Question 2

How would you express, “miles per hour” as a ratio?

Answer 2

miles/hour

Question 3

Distance = ? (time-distance-rate)

Answer 3

Distance = Rate x Time

Question 4

Time = ? (time-distance-rate)

Answer 4

Time = Distance / Rate

Question 5

Rate = ? (time-distance-rate)

Answer 5

Rate = Distance / Time

Question 6

How would you draw a matrix to solve (time-distance-rate) problems?

Answer 6

Question 7

Solve:

Answer 7

Question 8

Solve:

Answer 8

Question 9

What is the formula for the “average rate”?

Answer 9

Question 10

If an object travels to a point, and then back, what is the distance?

Answer 10

distance one = distance two

Question 11

Solve:

Answer 11

Question 12

Solve:

Answer 12

Question 13

In an average rate problem where we are not given a numerical value for two equal distances, we can either use the _________ or ____________

Answer 13

In an average rate problem where we are not given a numerical value for two equal distances, we can either use the SAME VARIABLE FOR THE DISTANCES or ASSIGN A NUMERICAL VALUE

Question 14

Solve:

Answer 14

Question 15

Rather than using variable D, what else could you do here?

Answer 15

Assign a random numerical value as a placeholder (but for ease, it should be something easily divisible by the other values)

Question 16

Solve:

Answer 16

Question 17

Solve:

Answer 17

You only need statement 2, it does not matter what distance is as its back and forth anyways.

Distance one = Distance two

Question 18

Solve:

Answer 18