Question

The total number of apples, T, is directly

proportional to the number of baskets, n,
of apples. There are a total of 120 apples in
5 baskets.
(a) Write down the equation connecting
T and n in the form T = kn, where k is
a constant.
(b) Interpret the meaning of k found in (a).
c) Find the total number of apples in 8 basket

Answer 1

Explanation:

Given that,

The total number of apples, T, is directly proportional to the number of baskets,n, of apples.

(a) Mathematically, it can be written as :

`T\propto n\\\\T=kn` ....(1)

Put T = 120 and n = 5

So,

`k=(T)/(n)\\\\k=(120)/(5)\\\\k=24`

(b) k is equal to 24. It means the constant of proportionality is 24.

(c) Put k = 24 and n = 8 in equation (1).

T = 24(8) = 192 apples

Hence, this is the required solution.