A is aldult tickets
b is child tickets
b = 2/3 a
7a + 12b = 90
7a + 12 x 2/3 a = 90
7a + 8a = 90
15a = 90
a = 6; b = 4
We use the first point given (0, 14) to solve <em>a </em>in terms of <em>b</em>. We have
We use the second point given (3,3024) to solve for the value of <em>b</em>,
Substitute the value of <em>a</em> solved by the equation above on the equation above and solve
Hence, the exponential function is written as
Answer:
y = (5/4)2^x
Step-by-step explanation:
The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...
y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))
y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference
This can be simplified to ...
y = 10·2^(x -3) = 10/8·2^x
y = (5/4)2^x