Algebra: Types of Relationships Multiple Choice Quiz 11
Solutions can be found by pressing ‘hint’
Algebra Multiple Choice Quiz 11
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Question 1 of 5
1. Question
1 point(s)The time for a car to travel a certain distance varies inversely with its speed.
Which of the following graphs shows this relationship?
Hint
T ∝ 1/S
T = k/SAs S↑, T↓⇒cannot be B or D
C is incorrect because it graphs a linear relationship
⇒ A -
Question 2 of 5
2. Question
1 point(s)The number of hours that it takes for a block of ice to melt varies inversely with the temperature. At 30°C it takes 8 hours for a block of ice to melt.
How long will it take the same size block of ice to melt at 12°C?
Hint
Time to melt (T) ∝ 1/Temp
⇒T=kTemp
When T =8 hrs, Temp = 30
8 =k30
k =240When Temp = 12
T =24012
=20 hours
⇒ B -
Question 3 of 5
3. Question
1 point(s)The time (t) taken to clean a house varies inversely with the number (n) of people
cleaning the house.Which graph represents this relationship?
Hint
t ∝ 1/n
∴t = k/n
The graph is a hyperbola that sees t decrease
as n increases.
∴ Eliminate A and B
Also, t cannot be zero
∴ Eliminate C
⇒ D -
Question 4 of 5
4. Question
1 point(s)If pressure (p) varies inversely with volume (V), which formula correctly expresses p in terms of V and k, where k is a constant?
Hint
p ∝ 1/V
p = k/V
⇒ A -
Question 5 of 5
5. Question
1 point(s)The volume of water in a tank changes over six months, as shown in the graph.
Consider the overall decrease in the volume of water.
What is the average percentage decrease in the volume of water per month over this time, to the nearest percent?
Hint
Initial Volume =50 000 L
Final volume =18 000 L
Decrease =50 000−18 000
=32 000 L (over 6 months)Loss per month =32 0006
=5333.33… L per month
% loss per month =5333.33…50 000
=10.666…%⇒ B