Linear Functions Worksheet Page 15
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3870
Chapter 1 LINEAR FUNCTIONS
(i) Let S(q) = 10: Find q:
(d) Let D(q) = 4:5. Find q.
4:5 = 5 ¡ 0:25q
10 = 0:75q
0:25q = 0:5
40
= q
q = 2
3
q = 13:3
When the price is $4.50, 200 quarts are demanded.
(e) Let D(q) = 3:25. Find q.
When the price is $10, about 1333 watches are
supplied.
3:25 = 5 ¡ 0:25q
0:25q = 1:75
(j) Let S(q) = 20: Find q:
q = 7
20 = 0:75q
When the price is $3.25, 700 quarts are demanded.
80
= q
(f ) Let D(q) = 2:4. Find q.
3
q = 26:6
2:4 = 5 ¡ 0:25q
0:25q = 2:6
When the price is $20, about 2667 watches are
q = 10:4
demanded.
When the price is $2.40, 1040 quarts are demanded.
(k)
(g)
D(q) = S(q)
(l)
16 ¡ 1:25q = 0:75q
(h) S(q) = 0:25q
16 = 2q
Let S(q) = 0. Find q.
8 = q
0 = 0:25q
S(8) = 0:75(8) = 6
q = 0
The equilibrium quantity is 800 watches, and the
When the price is $0, 0 quarts are supplied.
equilibrium price is $6.
(i) Let S(q) = 2: Find q.
28. D(q) = 5 ¡ 0:25q
2 = 0:25q
(a) D(0) = 5 ¡ 0:25(0) = 5 ¡ 0 = 5
q = 8
When 0 quarts are demanded, the price is $5.
When the price is $2, 800 quarts are supplied.
(b) D(4) = 5 ¡ 0:25(4) = 5 ¡ 1 = 4
(j) Let S(q) = 4:5: Find q.
When 400 quarts are demanded, the price is $4.
4:5 = 0:25q
q = 18
(c) D(8:4) = 5 ¡ 0:25(8:4) = 5 ¡ 2:1 = 2:9
When 840 quarts are demanded, the price is $2.90.
When the price is $4.50, 1800 quarts are supplied.
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