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Deepa
Subject: Maths
, asked on 16/11/17
Q). The number of minutes it takes to download a file is inversely proportional to the download speed. It takes Jolene 12 minutes to download a file when the download speed is 256 kilobytes per second. How long will it take her to download the same file if the download speed is 512 kilobytes per second?
Answer
3
Deepa
Subject: Maths
, asked on 16/11/17
Q). The number of hours it takes to mow nine lawns is inversely proportional to the number of gardeners. It takes three gardeners four hours to mow nine lawns. How many hours would it take one gardener to mow the same nine lawns?
Answer
2
Deepa
Subject: Maths
, asked on 16/11/17
A second-hand car dealer suspects that the value of a car is inversely proportional
to its age. A car was sold for £8000 when it was 3 years old and again for £6000
when it was 4 years old.
(a) Is it possible that the value is inversely proportional to the age?
(b) If the value is inversely proportional to the age, find
(i) the value of the car after 10 years,
(ii) when the value drops below £1000.
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
Two quantities, x and y, are such that y is inversely proportional to x. Increasing x
from its initial value to 7 causes the value of y to drop from 8 to 4.
(a) Find the initial value of x.
(b) Find the formula that expresses y in terms of x.
(c) If y had dropped from 8 to 2, what would have happened to x?
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
Q.23. The time taken by some students to deliver 500 flyers, t hours, is inversely proportional to the number of students, n. The graph shows the relationship between n and t.
a) Find the constant of proportionality graphically.
b) Write an equation relating n and t.
c) Describe the relationship between the number of students and the time needed to deliver the flyers.
d) Explain what the point (6, 2) represents in this situation.
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
Q). An initial amount of money deposited in a bank account that earns interest is called the principal. In the table below, P stands for the principal, and I stands for the interest earned by that principal for a period of one year at a particular bank. P is directly proportional to I. Graph the direct proportion relationship between P and I. Use 1 unit on the horizontal axis to represent 1 dollar and 1 unit on the vertical axis to represent $50.
a). Using the graph, find the interest earned when the principal is $350.
b). Write an equation relating P and I. Then find the principal when the interest earned is $15.
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
Q). Harry made fruit punch using 2 parts orange juice to 3 parts soda water. The amount of soda water that Harry used is directly proportional to the amount of orange juice he used. How many cups of orange juice should Harry use with 18 cups of soda water?
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
Q). Out of every $100 that Judy earns at her part-time job, she saves $25 for college. The amount she saves is directly proportional to the amount she earns. If she earns $3,880 in one year, how much will she save for college?
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
Q.19. The graph shows that the cost of gasoline, y dollars, is directly proportional to x gallons of gasoline.
a) Find the constant of proportionality. What does this value represent in the context of the problem?
b) Write a direct proportion equation.
c) If Umberto spent $24 for gasoline, how many gallons of gasoline did he buy?
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
Two quantities, x and y, are such that y is inversely proportional to x. Increasing x
from its initial value to 7 causes the value of y to drop from 8 to 4.
(a) Find the initial value of x.
(b) Find the formula that expresses y in terms of x.
(c) If y had dropped from 8 to 2, what would have happened to x?
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
The volume, V, of a gas at a constant temperature is inversely proportional to the
pressure, P. When the pressure is 100 N m–2, the volume is 8 litres.
(a) What happens to the volume if the pressure is doubled?
(b) What happens to the volume if the pressure in increased by a factor of 4?
(c) Find the relationship between volume and pressure.
(d) Find the pressure that gives a volume of 10 litres.
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
In an electric circuit the current, I, is inversely proportional to the resistance, R, of
the circuit.
(a) If, when R =1000, I = 0.5, find the relationship between I and R.
(b) If the resistance increases to 1500, what is the current?
(c) What happens to I if R is doubled?
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
The quantities x, y and z are such that y proportional to x and z proportional to y. If y =30 when x = 5 and z = 28 when y = 20 , find the relationship between x and z.
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
A car travels at a constant speed of 70 mph along a motorway. The distance, d,
travelled is proportional to the time, t, the car has been driven.
(c) How long does it take the car to travel:
(i) 2 miles?
Answer
1
Deepa
Subject: Maths
, asked on 16/11/17
The circumference of a circle is proportional to the radius.
(a) Write down the formula for the circumference of a circle and state the value
of the constant of proportionality.
(b) It is also possible to state that the circumference of a circle is proportional to
the diameter. What would be the constant of proportionality in this case?
Answer
1
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to its age. A car was sold for £8000 when it was 3 years old and again for £6000
when it was 4 years old.
(a) Is it possible that the value is inversely proportional to the age?
(b) If the value is inversely proportional to the age, find
(i) the value of the car after 10 years,
(ii) when the value drops below £1000.
from its initial value to 7 causes the value of y to drop from 8 to 4.
(a) Find the initial value of x.
(b) Find the formula that expresses y in terms of x.
(c) If y had dropped from 8 to 2, what would have happened to x?
a) Find the constant of proportionality graphically.
b) Write an equation relating n and t.
c) Describe the relationship between the number of students and the time needed to deliver the flyers.
d) Explain what the point (6, 2) represents in this situation.
a). Using the graph, find the interest earned when the principal is $350.
b). Write an equation relating P and I. Then find the principal when the interest earned is $15.
a) Find the constant of proportionality. What does this value represent in the context of the problem?
b) Write a direct proportion equation.
c) If Umberto spent $24 for gasoline, how many gallons of gasoline did he buy?
from its initial value to 7 causes the value of y to drop from 8 to 4.
(a) Find the initial value of x.
(b) Find the formula that expresses y in terms of x.
(c) If y had dropped from 8 to 2, what would have happened to x?
pressure, P. When the pressure is 100 N m–2, the volume is 8 litres.
(a) What happens to the volume if the pressure is doubled?
(b) What happens to the volume if the pressure in increased by a factor of 4?
(c) Find the relationship between volume and pressure.
(d) Find the pressure that gives a volume of 10 litres.
the circuit.
(a) If, when R =1000, I = 0.5, find the relationship between I and R.
(b) If the resistance increases to 1500, what is the current?
(c) What happens to I if R is doubled?
travelled is proportional to the time, t, the car has been driven.
(c) How long does it take the car to travel:
(i) 2 miles?
(a) Write down the formula for the circumference of a circle and state the value
of the constant of proportionality.
(b) It is also possible to state that the circumference of a circle is proportional to
the diameter. What would be the constant of proportionality in this case?