Answer:
y = 57
Step-by-step explanation:
y α x
y = kx ; k = Constant of proportionality
81 = k* 54
k = 81/54
k = 1.5
Value of y when x = 38
y = kx
y = 1.5 * 38
y = 57
Hence, y = 57 when x = 38
Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:



The nth term of a geometric sequence is:

Where a is the first term and r is the common ratio.
Putting
, we get

Therefore, the required formula for the given sequence is
.
We need to find the 10th term of the given sequence. So, substituting
in the above formula.




Therefore, the 10th term of the given sequence is 2.1875.
Answer:
the price per book is $3 the constant of proportionality is 3
Step-by-step explanation:
12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.