6. I B varies directly as A; and B = 3 when A = 18, then nnu le Value UI DW
7. The following table shows the travelling time (t hours) and the distance covered (y km) by a car:
Travelling Time (t hour)
0.5
1.5 2.0 2.5 3.0
Distance Covered (y km)
30 60 90 120
150 180
1.0
(a) Show that y varies directly as t.
(c) Find the value of t when y = 72.
(b) Write the equation connecting t and y.
(d) Find the value of y when t = 1.25.
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Answer:
and then use the values given to find the value of the constant.
a
∝
1
b
⇒
a
=
k
b
⇒
k
=
a
b
Find the value of k, using the a and b given.
k
=
3
×
4
=
12
So,
a
=
12
b
can also be written as
b
=
12
a
When
a
=
48
,
b
=
12
48
=
1
4
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