Question 1 Write the repeating decimal number 3,142 as an improper fraction. Question 2 2.1 A father is four times as old as his daughter. In 6 years he will be three times as old as she is then. How old is the daughter now? (6)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 1
Write the repeating decimal number 3,142 as an improper fraction.
[5]
Question 2
2.1 A father is four times as old as his daughter. In 6 years he will be three times as old as she is
then. How old is the daughter now?
(6)
2.2 The distance between two towns A and B, is 90 km. John cycles from A to B whereas Harry
cycles from B to A. They start cycling towards each other at the same time. John cycles twice
as fast as Harry does. If they meet 2 hours later, at what average speed is each cyclist traveling?
(8)
3.3 The area covered by water weed on a dam increases exponentially according to the formula
A = Agekt,
where A is the area, in square meters, covered by weed after t days. The initial area Ao of water
weed is 200m². After 10 days the area is 300m2.
(a) Determine the value of k. Leave your answer in terms of In.
(4)
(b) Use the formula above, and the value of k in terms of In, to determine the area covered by
water weed after 30 days.
(5)
Transcribed Image Text:Question 1 Write the repeating decimal number 3,142 as an improper fraction. [5] Question 2 2.1 A father is four times as old as his daughter. In 6 years he will be three times as old as she is then. How old is the daughter now? (6) 2.2 The distance between two towns A and B, is 90 km. John cycles from A to B whereas Harry cycles from B to A. They start cycling towards each other at the same time. John cycles twice as fast as Harry does. If they meet 2 hours later, at what average speed is each cyclist traveling? (8) 3.3 The area covered by water weed on a dam increases exponentially according to the formula A = Agekt, where A is the area, in square meters, covered by weed after t days. The initial area Ao of water weed is 200m². After 10 days the area is 300m2. (a) Determine the value of k. Leave your answer in terms of In. (4) (b) Use the formula above, and the value of k in terms of In, to determine the area covered by water weed after 30 days. (5)
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